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1211012020100 = 2252239401126359
BaseRepresentation
bin10001100111110101111…
…100001111011110000100
311021202211111202200200202
4101213311330033132010
5124320123034120400
62324155314230032
7153331002220631
oct21476574173604
94252744680622
101211012020100
11427650794853
12176851585318
138a275b6052c
1442882c47188
152177b8514d5
hex119f5f0f784

1211012020100 has 72 divisors (see below), whose sum is σ = 2645493177600. Its totient is φ = 481171264000.

The previous prime is 1211012020027. The next prime is 1211012020109. The reversal of 1211012020100 is 10202101121.

It is a super-2 number, since 2×12110120201002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211012020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9520721 + ... + 9647079.

It is an arithmetic number, because the mean of its divisors is an integer number (36742960800).

Almost surely, 21211012020100 is an apocalyptic number.

1211012020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211012020100 is an abundant number, since it is smaller than the sum of its proper divisors (1434481157500).

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

1211012020100 is a wasteful number, since it uses less digits than its factorization.

1211012020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127013 (or 127006 counting only the distinct ones).

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

Adding to 1211012020100 its reverse (10202101121), we get a palindrome (1221214121221).

The spelling of 1211012020100 in words is "one trillion, two hundred eleven billion, twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 239 401 478 802 956 1195 1604 2005 2390 4010 4780 5975 8020 10025 11950 20050 23900 40100 95839 126359 191678 252718 383356 479195 505436 631795 958390 1263590 1916780 2395975 2527180 3158975 4791950 6317950 9583900 12635900 30199801 50669959 60399602 101339918 120799204 150999005 202679836 253349795 301998010 506699590 603996020 754995025 1013399180 1266748975 1509990050 2533497950 3019980100 5066995900 12110120201 24220240402 48440480804 60550601005 121101202010 242202404020 302753005025 605506010050 1211012020100