122238236160 has 640 divisors, whose sum is σ = 479836431360. Its totient is φ = 29339025408.

The previous prime is 122238236093. The next prime is 122238236161. The reversal of 122238236160 is 61632832221.

122238236160 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 38 + 2 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122238236161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27023659 + ... + 27028181.

It is an arithmetic number, because the mean of its divisors is an integer number (749744424).

Almost surely, 2^122238236160 is an apocalyptic number.

122238236160 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 122238236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239918215680).

122238236160 is an abundant number, since it is smaller than the sum of its proper divisors (357598195200).

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

122238236160 is a wasteful number, since it uses less digits than its factorization.

122238236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 122238236160 in words is "one hundred twenty-two billion, two hundred thirty-eight million, two hundred thirty-six thousand, one hundred sixty".