12264277157521 has 27 divisors (see below), whose sum is σ = 12765886346577. Its totient is φ = 11781979848480.

The previous prime is 12264277157477. The next prime is 12264277157537. The reversal of 12264277157521 is 12575177246221.

The square root of 12264277157521 is 3502039.

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

It can be written as a sum of positive squares in 4 ways, for example, as 474942883921 + 11789334273600 = 689161^2 + 3433560^2 .

It is not a de Polignac number, because 12264277157521 - 2¹⁵ = 12264277124753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12264277157021) 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, 18781434831 + ... + 18781435483.

Almost surely, 2^{12264277157521} is an apocalyptic number.

12264277157521 is the 3502039-th square number.

12264277157521 is the 1751020-th centered octagonal number.

It is an amenable number.

12264277157521 is a deficient number, since it is larger than the sum of its proper divisors (501609189056).

12264277157521 is an frugal number, since it uses more digits than its factorization.

12264277157521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 857 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 52.

The spelling of 12264277157521 in words is "twelve trillion, two hundred sixty-four billion, two hundred seventy-seven million, one hundred fifty-seven thousand, five hundred twenty-one".