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10120212012 = 2232931938099
BaseRepresentation
bin10010110110011011…
…00010111000101100
3222010021222001000010
421123031202320230
5131211233241022
64352115133220
7505534245201
oct113315427054
928107861003
1010120212012
114323661089
121b652a4210
13c53889a41
146c00d5ca8
153e370650c
hex25b362e2c

10120212012 has 48 divisors (see below), whose sum is σ = 25216128000. Its totient is φ = 3152009280.

The previous prime is 10120212001. The next prime is 10120212031. The reversal of 10120212012 is 21021202101.

10120212012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458262 + ... + 479837.

It is an arithmetic number, because the mean of its divisors is an integer number (525336000).

Almost surely, 210120212012 is an apocalyptic number.

10120212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120212012 is an abundant number, since it is smaller than the sum of its proper divisors (15095915988).

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

10120212012 is a wasteful number, since it uses less digits than its factorization.

10120212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938166 (or 938164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120212012 its reverse (21021202101), we get a palindrome (31141414113).

The spelling of 10120212012 in words is "ten billion, one hundred twenty million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 10788 938099 1876198 2814297 3752396 5628594 11257188 27204871 29081069 54409742 58162138 81614613 87243207 108819484 116324276 163229226 174486414 326458452 348972828 843351001 1686702002 2530053003 3373404004 5060106006 10120212012