122876433720 has 192 divisors, whose sum is σ = 417922053120. Its totient is φ = 31251340032.

The previous prime is 122876433707. The next prime is 122876433731. The reversal of 122876433720 is 27334678221.

122876433720 is a `hidden beast` number, since 1 + 228 + 76 + 4 + 337 + 20 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2851777 + ... + 2894543.

It is an arithmetic number, because the mean of its divisors is an integer number (2176677360).

Almost surely, 2^122876433720 is an apocalyptic number.

122876433720 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 122876433720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208961026560).

122876433720 is an abundant number, since it is smaller than the sum of its proper divisors (295045619400).

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

122876433720 is a wasteful number, since it uses less digits than its factorization.

122876433720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43154 (or 43147 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 122876433720 in words is "one hundred twenty-two billion, eight hundred seventy-six million, four hundred thirty-three thousand, seven hundred twenty".