122773072200525 has 18 divisors (see below), whose sum is σ = 219900213764010. Its totient is φ = 65478971840160.

The previous prime is 122773072200517. The next prime is 122773072200551. The reversal of 122773072200525 is 525002270377221.

122773072200525 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 7 + 30 + 72 + 20 + 0 + 525 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3275336224521 + 119497735976004 = 1809789^2 + 10931502^2 .

It is not a de Polignac number, because 122773072200525 - 2³ = 122773072200517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 272829049110 + ... + 272829049559.

It is an arithmetic number, because the mean of its divisors is an integer number (12216678542445).

Almost surely, 2^{122773072200525} is an apocalyptic number.

122773072200525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122773072200525 is a deficient number, since it is larger than the sum of its proper divisors (97127141563485).

122773072200525 is a wasteful number, since it uses less digits than its factorization.

122773072200525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545658098685 (or 545658098677 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 122773072200525 in words is "one hundred twenty-two trillion, seven hundred seventy-three billion, seventy-two million, two hundred thousand, five hundred twenty-five".