122007381328 has 160 divisors (see below), whose sum is σ = 290484264960. Its totient is φ = 48453949440.

The previous prime is 122007381283. The next prime is 122007381329. The reversal of 122007381328 is 823183700221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122007381329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66633373 + ... + 66635203.

It is an arithmetic number, because the mean of its divisors is an integer number (1815526656).

Almost surely, 2^122007381328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122007381328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145242132480).

122007381328 is an abundant number, since it is smaller than the sum of its proper divisors (168476883632).

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

122007381328 is a wasteful number, since it uses less digits than its factorization.

122007381328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 122007381328 in words is "one hundred twenty-two billion, seven million, three hundred eighty-one thousand, three hundred twenty-eight".