122735714320 has 20 divisors (see below), whose sum is σ = 285360535980. Its totient is φ = 49094285696.

The previous prime is 122735714293. The next prime is 122735714329. The reversal of 122735714320 is 23417537221.

It can be written as a sum of positive squares in 2 ways, for example, as 69879865104 + 52855849216 = 264348^2 + 229904^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 122735714320.

It is not an unprimeable number, because it can be changed into a prime (122735714329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 767098135 + ... + 767098294.

It is an arithmetic number, because the mean of its divisors is an integer number (14268026799).

Almost surely, 2^122735714320 is an apocalyptic number.

122735714320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122735714320 is an abundant number, since it is smaller than the sum of its proper divisors (162624821660).

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

122735714320 is a wasteful number, since it uses less digits than its factorization.

122735714320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534196442 (or 1534196436 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 122735714320 in words is "one hundred twenty-two billion, seven hundred thirty-five million, seven hundred fourteen thousand, three hundred twenty".