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1021201112000 = 2653239534101
BaseRepresentation
bin11101101110001000101…
…01000101101111000000
310121121220021001111122102
432313010111011233000
5113212404441041000
62101044443525532
7133531213142126
oct16670425055700
93547807044572
101021201112000
113640a8450163
12145aba2298a8
13753b6766b24
14375d806b916
151b86cb8c3d5
hexedc4545bc0

1021201112000 has 112 divisors (see below), whose sum is σ = 2539590917760. Its totient is φ = 406770560000.

The previous prime is 1021201111949. The next prime is 1021201112003. The reversal of 1021201112000 is 2111021201.

It is a super-2 number, since 2×10212011120002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021201112003) 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 15 ways as a sum of consecutive naturals, for example, 1644950 + ... + 2179050.

Almost surely, 21021201112000 is an apocalyptic number.

1021201112000 is a gapful number since it is divisible by the number (10) 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 1021201112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269795458880).

1021201112000 is an abundant number, since it is smaller than the sum of its proper divisors (1518389805760).

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

1021201112000 is an equidigital number, since it uses as much as digits as its factorization.

1021201112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534367 (or 534347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1021201112000 its reverse (2111021201), we get a palindrome (1023312133201).

The spelling of 1021201112000 in words is "one trillion, twenty-one billion, two hundred one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 239 250 320 400 478 500 800 956 1000 1195 1600 1912 2000 2390 3824 4000 4780 5975 7648 8000 9560 11950 15296 19120 23900 29875 38240 47800 59750 76480 95600 119500 191200 239000 382400 478000 534101 956000 1068202 1912000 2136404 2670505 4272808 5341010 8545616 10682020 13352525 17091232 21364040 26705050 34182464 42728080 53410100 66762625 85456160 106820200 127650139 133525250 170912320 213640400 255300278 267050500 427280800 510600556 534101000 638250695 854561600 1021201112 1068202000 1276501390 2042402224 2136404000 2553002780 3191253475 4084804448 4272808000 5106005560 6382506950 8169608896 10212011120 12765013900 15956267375 20424022240 25530027800 31912534750 40848044480 51060055600 63825069500 102120111200 127650139000 204240222400 255300278000 510600556000 1021201112000