122733374120 has 128 divisors (see below), whose sum is σ = 327007238400. Its totient is φ = 40585998336.

The previous prime is 122733374117. The next prime is 122733374143. The reversal of 122733374120 is 21473337221.

It is a super-2 number, since 2×122733374120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 31 ways as a sum of consecutive naturals, for example, 805472 + ... + 945648.

It is an arithmetic number, because the mean of its divisors is an integer number (2554744050).

Almost surely, 2^122733374120 is an apocalyptic number.

122733374120 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 122733374120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163503619200).

122733374120 is an abundant number, since it is smaller than the sum of its proper divisors (204273864280).

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

122733374120 is a wasteful number, since it uses less digits than its factorization.

122733374120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140307 (or 140303 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 122733374120 in words is "one hundred twenty-two billion, seven hundred thirty-three million, three hundred seventy-four thousand, one hundred twenty".