122993295616 has 81 divisors (see below), whose sum is σ = 256914008029. Its totient is φ = 58761156608.

The previous prime is 122993295599. The next prime is 122993295617. The reversal of 122993295616 is 616592399221.

The square root of 122993295616 is 350704.

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., 51220742400 + 71772553216 = 226320^2 + 267904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122993295617) 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, 129058596 + ... + 129059548.

Almost surely, 2^122993295616 is an apocalyptic number.

122993295616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122993295616 is the 350704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122993295616

122993295616 is an abundant number, since it is smaller than the sum of its proper divisors (133920712413).

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

122993295616 is an frugal number, since it uses more digits than its factorization.

122993295616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 978 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 55.

It can be divided in two parts, 122993 and 295616, that added together give a square (418609 = 647²).

The spelling of 122993295616 in words is "one hundred twenty-two billion, nine hundred ninety-three million, two hundred ninety-five thousand, six hundred sixteen".