122653693300 has 72 divisors (see below), whose sum is σ = 275502913560. Its totient is φ = 47341056000.

The previous prime is 122653693277. The next prime is 122653693301. The reversal of 122653693300 is 3396356221.

It can be written as a sum of positive squares in 12 ways, for example, as 17607697636 + 105045995664 = 132694^2 + 324108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122653693301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5141400 + ... + 5165200.

It is an arithmetic number, because the mean of its divisors is an integer number (3826429355).

Almost surely, 2^122653693300 is an apocalyptic number.

122653693300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122653693300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137751456780).

122653693300 is an abundant number, since it is smaller than the sum of its proper divisors (152849220260).

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

122653693300 is a wasteful number, since it uses less digits than its factorization.

122653693300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25621 (or 25614 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The spelling of 122653693300 in words is "one hundred twenty-two billion, six hundred fifty-three million, six hundred ninety-three thousand, three hundred".