120725671936 has 117 divisors (see below), whose sum is σ = 248233276083. Its totient is φ = 58706165760.

The previous prime is 120725671933. The next prime is 120725671939. The reversal of 120725671936 is 639176527021.

The square root of 120725671936 is 347456.

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

It is an interprime number because it is at equal distance from previous prime (120725671933) and next prime (120725671939).

It can be written as a sum of positive squares in 4 ways, for example, as 78256705536 + 42468966400 = 279744^2 + 206080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120725671936.

It is not an unprimeable number, because it can be changed into a prime (120725671933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1356468180 + ... + 1356468268.

Almost surely, 2^120725671936 is an apocalyptic number.

120725671936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120725671936 is the 347456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120725671936

120725671936 is an abundant number, since it is smaller than the sum of its proper divisors (127507604147).

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

120725671936 is an frugal number, since it uses more digits than its factorization.

120725671936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 120725671936 by its sum of digits (49), we get a square (5915557924864 = 2432192²).

The spelling of 120725671936 in words is "one hundred twenty billion, seven hundred twenty-five million, six hundred seventy-one thousand, nine hundred thirty-six".