120640907556 has 243 divisors, whose sum is σ = 340379809497. Its totient is φ = 36011589120.

The previous prime is 120640907537. The next prime is 120640907579. The reversal of 120640907556 is 655709046021.

The square root of 120640907556 is 347334.

It is a perfect power (a square), and thus also a powerful number.

120640907556 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 4 + 0 + 90 + 7 + 556 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 118243825956 + 2397081600 = 343866^2 + 48960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1652615136 + ... + 1652615208.

Almost surely, 2^120640907556 is an apocalyptic number.

120640907556 is the 347334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120640907556

120640907556 is an abundant number, since it is smaller than the sum of its proper divisors (219738901941).

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

120640907556 is a wasteful number, since it uses less digits than its factorization.

120640907556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 120640 and 907556, that added together give a square (1028196 = 1014²).

The spelling of 120640907556 in words is "one hundred twenty billion, six hundred forty million, nine hundred seven thousand, five hundred fifty-six".