122031829920 has 768 divisors, whose sum is σ = 520631193600. Its totient is φ = 23395553280.

The previous prime is 122031829901. The next prime is 122031829937. The reversal of 122031829920 is 29928130221.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58137031 + ... + 58139129.

It is an arithmetic number, because the mean of its divisors is an integer number (677905200).

Almost surely, 2^122031829920 is an apocalyptic number.

122031829920 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 122031829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260315596800).

122031829920 is an abundant number, since it is smaller than the sum of its proper divisors (398599363680).

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

122031829920 is a wasteful number, since it uses less digits than its factorization.

122031829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 122031829920 in words is "one hundred twenty-two billion, thirty-one million, eight hundred twenty-nine thousand, nine hundred twenty".