1292225571121 has 9 divisors (see below), whose sum is σ = 1304314681761. Its totient is φ = 1280247520464.

The previous prime is 1292225571107. The next prime is 1292225571127. The reversal of 1292225571121 is 1211755222921.

The square root of 1292225571121 is 1136761.

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 780199457521 + 512026113600 = 883289^2 + 715560^2 .

It is not a de Polignac number, because 1292225571121 - 2³³ = 1283635636529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1292225571127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123901735 + ... + 123912163.

It is an arithmetic number, because the mean of its divisors is an integer number (144923853529).

Almost surely, 2^{1292225571121} is an apocalyptic number.

1292225571121 is the 1136761-st square number.

1292225571121 is the 568381-st centered octagonal number.

It is an amenable number.

1292225571121 is a deficient number, since it is larger than the sum of its proper divisors (12089110640).

1292225571121 is an frugal number, since it uses more digits than its factorization.

1292225571121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21076 (or 10538 counting only the distinct ones).

The product of its digits is 50400, while the sum is 40.

The spelling of 1292225571121 in words is "one trillion, two hundred ninety-two billion, two hundred twenty-five million, five hundred seventy-one thousand, one hundred twenty-one".