122525063362816 has 81 divisors (see below), whose sum is σ = 245244692425873. Its totient is φ = 61094369853440.

The previous prime is 122525063362789. The next prime is 122525063362829. The reversal of 122525063362816 is 618263360525221.

The square root of 122525063362816 is 11069104.

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., 1560260802816 + 120964802560000 = 1249104^2 + 10998400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86958880320 + ... + 86958881728.

Almost surely, 2^{122525063362816} is an apocalyptic number.

122525063362816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122525063362816 is the 11069104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122525063362816

122525063362816 is an abundant number, since it is smaller than the sum of its proper divisors (122719629063057).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122525063362816 is an frugal number, since it uses more digits than its factorization.

122525063362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 122525063362816 in words is "one hundred twenty-two trillion, five hundred twenty-five billion, sixty-three million, three hundred sixty-two thousand, eight hundred sixteen".