107412051484512 has 96 divisors (see below), whose sum is σ = 313288107471360. Its totient is φ = 35803679184000.

The previous prime is 107412051484499. The next prime is 107412051484523. The reversal of 107412051484512 is 215484150214701.

107412051484512 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 1 + 2 + 0 + 51 + 4 + 84 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107412051484512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101208973 + ... + 102264755.

It is an arithmetic number, because the mean of its divisors is an integer number (3263417786160).

Almost surely, 2^{107412051484512} is an apocalyptic number.

107412051484512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107412051484512 is an abundant number, since it is smaller than the sum of its proper divisors (205876055986848).

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

107412051484512 is a wasteful number, since it uses less digits than its factorization.

107412051484512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173553 (or 1173539 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 107412051484512 in words is "one hundred seven trillion, four hundred twelve billion, fifty-one million, four hundred eighty-four thousand, five hundred twelve".