122786638920 has 768 divisors, whose sum is σ = 481340620800. Its totient is φ = 26811648000.

The previous prime is 122786638873. The next prime is 122786638921. The reversal of 122786638920 is 29836687221.

It is not an unprimeable number, because it can be changed into a prime (122786638921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142278409 + ... + 142279271.

It is an arithmetic number, because the mean of its divisors is an integer number (626745600).

Almost surely, 2^122786638920 is an apocalyptic number.

122786638920 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 122786638920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240670310400).

122786638920 is an abundant number, since it is smaller than the sum of its proper divisors (358553981880).

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

122786638920 is a wasteful number, since it uses less digits than its factorization.

122786638920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 122786638920 in words is "one hundred twenty-two billion, seven hundred eighty-six million, six hundred thirty-eight thousand, nine hundred twenty".