1312195451121 has 45 divisors (see below), whose sum is σ = 2082559519579. Its totient is φ = 823228353216.

The previous prime is 1312195451081. The next prime is 1312195451131. The reversal of 1312195451121 is 1211545912131.

The square root of 1312195451121 is 1145511.

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

1312195451121 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 195 + 451 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1021605455025 + 290589996096 = 1010745^2 + 539064^2 .

It is not a de Polignac number, because 1312195451121 - 2⁹ = 1312195450609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312195451131) 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 44 ways as a sum of consecutive naturals, for example, 175259440 + ... + 175266926.

Almost surely, 2^{1312195451121} is an apocalyptic number.

1312195451121 is the 1145511-st square number.

1312195451121 is the 572756-th centered octagonal number.

It is an amenable number.

1312195451121 is a deficient number, since it is larger than the sum of its proper divisors (770364068458).

1312195451121 is an frugal number, since it uses more digits than its factorization.

1312195451121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 7507 counting only the distinct ones).

The product of its digits is 10800, while the sum is 36.

Multiplying 1312195451121 by its sum of digits (36), we get a square (47239036240356 = 6873066²).

The spelling of 1312195451121 in words is "one trillion, three hundred twelve billion, one hundred ninety-five million, four hundred fifty-one thousand, one hundred twenty-one".