1152962685121 has 27 divisors (see below), whose sum is σ = 1259099003043. Its totient is φ = 1055292310800.

The previous prime is 1152962685113. The next prime is 1152962685181. The reversal of 1152962685121 is 1215862692511.

The square root of 1152962685121 is 1073761.

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., 170556610225 + 982406074896 = 412985^2 + 991164^2 .

It is not a de Polignac number, because 1152962685121 - 2³ = 1152962685113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1152962685181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2107792570 + ... + 2107793116.

It is an arithmetic number, because the mean of its divisors is an integer number (46633296409).

Almost surely, 2^{1152962685121} is an apocalyptic number.

1152962685121 is the 1073761-st square number.

1152962685121 is the 536881-st centered octagonal number.

It is an amenable number.

1152962685121 is a deficient number, since it is larger than the sum of its proper divisors (106136317922).

1152962685121 is an frugal number, since it uses more digits than its factorization.

1152962685121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its digits is 518400, while the sum is 49.

Multiplying 1152962685121 by its sum of digits (49), we get a square (56495171570929 = 7516327²).

The spelling of 1152962685121 in words is "one trillion, one hundred fifty-two billion, nine hundred sixty-two million, six hundred eighty-five thousand, one hundred twenty-one".