122446577136 has 80 divisors (see below), whose sum is σ = 341028172800. Its totient is φ = 37634338560.

The previous prime is 122446577119. The next prime is 122446577147. The reversal of 122446577136 is 631775644221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460765 + ... + 676163.

It is an arithmetic number, because the mean of its divisors is an integer number (4262852160).

Almost surely, 2^122446577136 is an apocalyptic number.

122446577136 is a gapful number since it is divisible by the number (16) 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 122446577136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170514086400).

122446577136 is an abundant number, since it is smaller than the sum of its proper divisors (218581595664).

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

122446577136 is a wasteful number, since it uses less digits than its factorization.

122446577136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216334 (or 216328 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The spelling of 122446577136 in words is "one hundred twenty-two billion, four hundred forty-six million, five hundred seventy-seven thousand, one hundred thirty-six".