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12116624121342 = 23313219487143489
BaseRepresentation
bin1011000001010001111100…
…0100111001110111111110
31120220100010100221022101000
42300110133010321313332
53042004321233340332
641434144505431130
72360253145463046
oct260243704716776
946810110838330
1012116624121342
1139516a4489364
121438348a9b4a6
1369b792378400
142dc63a836726
151602ab835b7c
hexb051f139dfe

12116624121342 has 192 divisors, whose sum is σ = 30754154304000. Its totient is φ = 3524694331392.

The previous prime is 12116624121241. The next prime is 12116624121389. The reversal of 12116624121342 is 24312142661121.

12116624121342 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 6 + 624 + 1 + 21 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12116624121297 and 12116624121306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84371134 + ... + 84514622.

It is an arithmetic number, because the mean of its divisors is an integer number (160177887000).

Almost surely, 212116624121342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12116624121342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377077152000).

12116624121342 is an abundant number, since it is smaller than the sum of its proper divisors (18637530182658).

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

12116624121342 is a wasteful number, since it uses less digits than its factorization.

12116624121342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144032 (or 144013 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 12116624121342 its reverse (24312142661121), we get a palindrome (36428766782463).

The spelling of 12116624121342 in words is "twelve trillion, one hundred sixteen billion, six hundred twenty-four million, one hundred twenty-one thousand, three hundred forty-two".