120882567325 has 12 divisors (see below), whose sum is σ = 161424721108. Its totient is φ = 89267126400.

The previous prime is 120882567271. The next prime is 120882567347. The reversal of 120882567325 is 523765288021.

It can be written as a sum of positive squares in 6 ways, for example, as 39007040004 + 81875527321 = 197502^2 + 286139^2 .

It is not a de Polignac number, because 120882567325 - 2²⁹ = 120345696413 is a prime.

It is a super-2 number, since 2×120882567325² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185972856 + ... + 185973505.

Almost surely, 2^120882567325 is an apocalyptic number.

It is an amenable number.

120882567325 is a deficient number, since it is larger than the sum of its proper divisors (40542153783).

120882567325 is a wasteful number, since it uses less digits than its factorization.

120882567325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371946384 (or 371946379 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 120882567325 in words is "one hundred twenty billion, eight hundred eighty-two million, five hundred sixty-seven thousand, three hundred twenty-five".