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2012212122102 = 2327131228456729
BaseRepresentation
bin11101010010000001001…
…100000101000111110110
321010100212112002221010200
4131102001030011013312
5230432002300401402
64140221505101330
7265243330554420
oct35220114050766
97110775087120
102012212122102
11706413314986
12285b91927846
1311799b638920
146d56a727810
153752019e21c
hex1d4813051f6

2012212122102 has 48 divisors (see below), whose sum is σ = 5365898996640. Its totient is φ = 530693306496.

The previous prime is 2012212122017. The next prime is 2012212122119.

It is a happy number.

2012212122102 is a `hidden beast` number, since 20 + 1 + 221 + 212 + 210 + 2 = 666.

2012212122102 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×20122121221023 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614226727 + ... + 614230002.

It is an arithmetic number, because the mean of its divisors is an integer number (111789562430).

Almost surely, 22012212122102 is an apocalyptic number.

2012212122102 is an abundant number, since it is smaller than the sum of its proper divisors (3353686874538).

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

2012212122102 is a wasteful number, since it uses less digits than its factorization.

2012212122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228456757 (or 1228456754 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 2012212122102 in words is "two trillion, twelve billion, two hundred twelve million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 1228456729 2456913458 3685370187 7370740374 8599197103 11056110561 15969937477 17198394206 22112221122 25797591309 31939874954 47909812431 51595182618 77392773927 95819624862 111789562339 143729437293 154785547854 223579124678 287458874586 335368687017 670737374034 1006106061051 2012212122102