10924750278121 has 27 divisors (see below), whose sum is σ = 11518735371703. Its totient is φ = 10360538920160.

The previous prime is 10924750278067. The next prime is 10924750278181. The reversal of 10924750278121 is 12187205742901.

The square root of 10924750278121 is 3305261.

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

It can be written as a sum of positive squares in only one way, i.e., 3106776386025 + 7817973892096 = 1762605^2 + 2796064^2 .

It is not a de Polignac number, because 10924750278121 - 2⁷ = 10924750277993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10924750278181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9958750845 + ... + 9958751941.

Almost surely, 2^{10924750278121} is an apocalyptic number.

10924750278121 is the 3305261-st square number.

10924750278121 is the 1652631-st centered octagonal number.

It is an amenable number.

10924750278121 is a deficient number, since it is larger than the sum of its proper divisors (593985093582).

10924750278121 is an frugal number, since it uses more digits than its factorization.

10924750278121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

Multiplying 10924750278121 by its sum of digits (49), we get a square (535312763627929 = 23136827²).

The spelling of 10924750278121 in words is "ten trillion, nine hundred twenty-four billion, seven hundred fifty million, two hundred seventy-eight thousand, one hundred twenty-one".