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212020112000000 = 2105613251257
BaseRepresentation
bin110000001101010011000111…
…011101100000010000000000
31000210200220222010222121201202
4300031103013131200100000
5210242214142133000000
62030532410025320332
762441643011445533
oct6015230735402000
91023626863877652
10212020112000000
1161613251964457
121b942b026360a8
13913c54560bb85
143a4db84720a1a
15197a1e29a0dd5
hexc0d4c7760400

212020112000000 has 154 divisors (see below), whose sum is σ = 529784725035906. Its totient is φ = 84808038400000.

The previous prime is 212020111999991. The next prime is 212020112000117. The reversal of 212020112000000 is 211020212.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 208727135601664 + 3292976398336 = 14447392^2 + 1814656^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9374372 + ... + 22625628.

Almost surely, 2212020112000000 is an apocalyptic number.

212020112000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264892362517953).

212020112000000 is an abundant number, since it is smaller than the sum of its proper divisors (317764613035906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212020112000000 is an frugal number, since it uses more digits than its factorization.

212020112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251307 (or 13251264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212020112000000 its reverse (211020212), we get a palindrome (212020323020212).

The spelling of 212020112000000 in words is "two hundred twelve trillion, twenty billion, one hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 25600 31250 32000 40000 50000 62500 64000 80000 100000 125000 128000 160000 200000 250000 320000 400000 500000 640000 800000 1000000 1600000 2000000 3200000 4000000 8000000 13251257 16000000 26502514 53005028 66256285 106010056 132512570 212020112 265025140 331281425 424040224 530050280 662562850 848080448 1060100560 1325125700 1656407125 1696160896 2120201120 2650251400 3312814250 3392321792 4240402240 5300502800 6625628500 6784643584 8282035625 8480804480 10601005600 13251257000 13569287168 16564071250 16961608960 21202011200 26502514000 33128142500 33923217920 41410178125 42404022400 53005028000 66256285000 67846435840 82820356250 84808044800 106010056000 132512570000 165640712500 169616089600 207050890625 212020112000 265025140000 331281425000 339232179200 414101781250 424040224000 530050280000 662562850000 828203562500 848080448000 1060100560000 1325125700000 1656407125000 1696160896000 2120201120000 2650251400000 3312814250000 4240402240000 5300502800000 6625628500000 8480804480000 10601005600000 13251257000000 21202011200000 26502514000000 42404022400000 53005028000000 106010056000000 212020112000000