122027335680 has 448 divisors, whose sum is σ = 408425830848. Its totient is φ = 31079792640.

The previous prime is 122027335679. The next prime is 122027335687. The reversal of 122027335680 is 86533720221.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122027335687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267018012 + ... + 267018468.

It is an arithmetic number, because the mean of its divisors is an integer number (911664801).

Almost surely, 2^122027335680 is an apocalyptic number.

122027335680 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 122027335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204212915424).

122027335680 is an abundant number, since it is smaller than the sum of its proper divisors (286398495168).

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

122027335680 is an equidigital number, since it uses as much as digits as its factorization.

122027335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 122027335680 in words is "one hundred twenty-two billion, twenty-seven million, three hundred thirty-five thousand, six hundred eighty".