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201220120120100 = 225219778991359521
BaseRepresentation
bin101101110000001000110101…
…110010000000101100100100
3222101110110022010220011121012
4231300020311302000230210
5202333242301222320400
61551543125210041352
760245450105236034
oct5560106562005444
9871413263804535
10201220120120100
1159129a79012474
121a699983119258
138837c8c0baca3
14379916a3818c4
15183e2e5321d35
hexb70235c80b24

201220120120100 has 72 divisors (see below), whose sum is σ = 459635354892000. Its totient is φ = 76250800051200.

The previous prime is 201220120120027. The next prime is 201220120120127. The reversal of 201220120120100 is 1021021022102.

It is a super-2 number, since 2×2012201201201002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 147328340 + ... + 148687860.

It is an arithmetic number, because the mean of its divisors is an integer number (6383824373500).

Almost surely, 2201220120120100 is an apocalyptic number.

201220120120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220120120100 is an abundant number, since it is smaller than the sum of its proper divisors (258415234771900).

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

201220120120100 is a wasteful number, since it uses less digits than its factorization.

201220120120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437453 (or 1437446 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201220120120100 its reverse (1021021022102), we get a palindrome (202241141142202).

The spelling of 201220120120100 in words is "two hundred one trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 77899 155798 311596 389495 778990 1359521 1480081 1557980 1947475 2719042 2960162 3894950 5438084 5920324 6797605 7400405 7789900 13595210 14800810 25830899 27190420 29601620 33988025 37002025 51661798 67976050 74004050 103323596 129154495 135952100 148008100 258308990 516617980 645772475 1291544950 2583089900 105905326379 211810652758 423621305516 529526631895 1059053263790 2012201201201 2118106527580 2647633159475 4024402402402 5295266318950 8048804804804 10061006006005 10590532637900 20122012012010 40244024024020 50305030030025 100610060060050 201220120120100