1232124420121 has 9 divisors (see below), whose sum is σ = 1433296629471. Its totient is φ = 1056099985752.

The previous prime is 1232124420067. The next prime is 1232124420127. The reversal of 1232124420121 is 1210244212321.

The square root of 1232124420121 is 1110011.

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., 1226877446025 + 5246974096 = 1107645^2 + 72436^2 .

It is not a de Polignac number, because 1232124420121 - 2⁹ = 1232124419609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1232124420127) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 7690791 + ... + 7849363.

Almost surely, 2^{1232124420121} is an apocalyptic number.

1232124420121 is the 1110011-st square number.

1232124420121 is the 555006-th centered octagonal number.

It is an amenable number.

1232124420121 is a deficient number, since it is larger than the sum of its proper divisors (201172209350).

1232124420121 is an frugal number, since it uses more digits than its factorization.

1232124420121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317160 (or 158580 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Multiplying 1232124420121 by its sum of digits (25), we get a square (30803110503025 = 5550055²).

Adding to 1232124420121 its reverse (1210244212321), we get a palindrome (2442368632442).

The spelling of 1232124420121 in words is "one trillion, two hundred thirty-two billion, one hundred twenty-four million, four hundred twenty thousand, one hundred twenty-one".