120126064563504 has 160 divisors (see below), whose sum is σ = 353232241689600. Its totient is φ = 39063613340160.

The previous prime is 120126064563497. The next prime is 120126064563601. The reversal of 120126064563504 is 405365460621021.

120126064563504 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 6 + 0 + 6 + 4 + 5 + 635 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120126064563504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422802837 + ... + 423086859.

It is an arithmetic number, because the mean of its divisors is an integer number (2207701510560).

Almost surely, 2^{120126064563504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120126064563504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176616120844800).

120126064563504 is an abundant number, since it is smaller than the sum of its proper divisors (233106177126096).

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

120126064563504 is a wasteful number, since it uses less digits than its factorization.

120126064563504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307960 (or 307948 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 120126064563504 in words is "one hundred twenty trillion, one hundred twenty-six billion, sixty-four million, five hundred sixty-three thousand, five hundred four".