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212011021120 = 265719331471
BaseRepresentation
bin1100010101110011010…
…1110111001101000000
3202021020102010202222111
43011130311313031000
511433144310133440
6241221351545104
721213554642203
oct3053465671500
9667212122874
10212011021120
1181a05770138
123510a08b194
1316cb9842272
14a39336b93a
1557acb704ea
hex315cd77340

212011021120 has 56 divisors (see below), whose sum is σ = 511961879808. Its totient is φ = 83609971200.

The previous prime is 212011021097. The next prime is 212011021127. The reversal of 212011021120 is 21120110212.

212011021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212011021120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4643016 + ... + 4688455.

Almost surely, 2212011021120 is an apocalyptic number.

212011021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011021120 is an abundant number, since it is smaller than the sum of its proper divisors (299950858688).

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

212011021120 is an equidigital number, since it uses as much as digits as its factorization.

212011021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331559 (or 9331549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212011021120 its reverse (21120110212), we get a palindrome (233131131332).

The spelling of 212011021120 in words is "two hundred twelve billion, eleven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 11360 22720 9331471 18662942 37325884 46657355 74651768 93314710 149303536 186629420 298607072 373258840 597214144 662534441 746517680 1325068882 1493035360 2650137764 2986070720 3312672205 5300275528 6625344410 10600551056 13250688820 21201102112 26501377640 42402204224 53002755280 106005510560 212011021120