12640120364520 has 384 divisors, whose sum is σ = 45780493524480. Its totient is φ = 2998287360000.

The previous prime is 12640120364507. The next prime is 12640120364537. The reversal of 12640120364520 is 2546302104621.

12640120364520 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 0 + 1 + 2 + 0 + 3 + 645 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1027562370 + ... + 1027574670.

It is an arithmetic number, because the mean of its divisors is an integer number (119220035220).

Almost surely, 2^{12640120364520} is an apocalyptic number.

12640120364520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12640120364520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890246762240).

12640120364520 is an abundant number, since it is smaller than the sum of its proper divisors (33140373159960).

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

12640120364520 is a wasteful number, since it uses less digits than its factorization.

12640120364520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17897 (or 17890 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12640120364520 in words is "twelve trillion, six hundred forty billion, one hundred twenty million, three hundred sixty-four thousand, five hundred twenty".