121308746700625 has 105 divisors (see below), whose sum is σ = 167251429036461. Its totient is φ = 87958003650000.

The previous prime is 121308746700611. The next prime is 121308746700629. The reversal of 121308746700625 is 526007647803121.

The square root of 121308746700625 is 11014025.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9510605741329 + 111798140959296 = 3083927^2 + 10573464^2 .

It is not a de Polignac number, because 121308746700625 - 2¹¹ = 121308746698577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121308746700629) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 366491681710 + ... + 366491682040.

Almost surely, 2^{121308746700625} is an apocalyptic number.

121308746700625 is the 11014025-th square number.

121308746700625 is the 5507013-rd centered octagonal number.

It is an amenable number.

121308746700625 is a deficient number, since it is larger than the sum of its proper divisors (45942682335836).

121308746700625 is an frugal number, since it uses more digits than its factorization.

121308746700625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 121308746700625 in words is "one hundred twenty-one trillion, three hundred eight billion, seven hundred forty-six million, seven hundred thousand, six hundred twenty-five".