121567282225 has 27 divisors (see below), whose sum is σ = 152150698147. Its totient is φ = 96354270080.

The previous prime is 121567282219. The next prime is 121567282229. The reversal of 121567282225 is 522282765121.

The square root of 121567282225 is 348665.

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

It can be written as a sum of positive squares in 13 ways, for example, as 28043856369 + 93523425856 = 167463^2 + 305816^2 .

It is not a de Polignac number, because 121567282225 - 2¹³ = 121567274033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121567282229) 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, 238835271 + ... + 238835779.

Almost surely, 2^121567282225 is an apocalyptic number.

121567282225 is the 348665-th square number.

121567282225 is the 174333-rd centered octagonal number.

It is an amenable number.

121567282225 is a deficient number, since it is larger than the sum of its proper divisors (30583415922).

121567282225 is an frugal number, since it uses more digits than its factorization.

121567282225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 651 counting only the distinct ones).

The product of its digits is 268800, while the sum is 43.

The spelling of 121567282225 in words is "one hundred twenty-one billion, five hundred sixty-seven million, two hundred eighty-two thousand, two hundred twenty-five".