121086600625 has 45 divisors (see below), whose sum is σ = 156697218183. Its totient is φ = 93535680000.

The previous prime is 121086600617. The next prime is 121086600641. The reversal of 121086600625 is 526006680121.

The square root of 121086600625 is 347975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 80932853169 + 40153747456 = 284487^2 + 200384^2 .

It is not a de Polignac number, because 121086600625 - 2³ = 121086600617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 269680401 + ... + 269680849.

Almost surely, 2^121086600625 is an apocalyptic number.

121086600625 is the 347975-th square number.

121086600625 is the 173988-th centered octagonal number.

It is an amenable number.

121086600625 is a deficient number, since it is larger than the sum of its proper divisors (35610617558).

121086600625 is an frugal number, since it uses more digits than its factorization.

121086600625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 121086600625 in words is "one hundred twenty-one billion, eighty-six million, six hundred thousand, six hundred twenty-five".