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13120212012 = 2231278609063
BaseRepresentation
bin11000011100000011…
…01000110000101100
31020212100222211100020
430032001220300230
5203332233241022
610005523402140
7643062650655
oct141601506054
936770884306
1013120212012
115623021526
122661b23350
13131127127b
148c66dc52c
1551bc9a35c
hex30e068c2c

13120212012 has 24 divisors (see below), whose sum is σ = 30854885376. Its totient is φ = 4338967248.

The previous prime is 13120211983. The next prime is 13120212019. The reversal of 13120212012 is 21021202131.

It is a super-3 number, since 3×131202120123 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13120211982 and 13120212000.

It is not an unprimeable number, because it can be changed into a prime (13120212019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4303008 + ... + 4306055.

It is an arithmetic number, because the mean of its divisors is an integer number (1285620224).

Almost surely, 213120212012 is an apocalyptic number.

13120212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13120212012 is an abundant number, since it is smaller than the sum of its proper divisors (17734673364).

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

13120212012 is a wasteful number, since it uses less digits than its factorization.

13120212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609197 (or 8609195 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13120212012 its reverse (21021202131), we get a palindrome (34141414143).

The spelling of 13120212012 in words is "thirteen billion, one hundred twenty million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 8609063 17218126 25827189 34436252 51654378 103308756 1093351001 2186702002 3280053003 4373404004 6560106006 13120212012