122120506368 has 792 divisors, whose sum is σ = 443156176320. Its totient is φ = 32188907520.

The previous prime is 122120506331. The next prime is 122120506393. The reversal of 122120506368 is 863605021221.

122120506368 is a `hidden beast` number, since 1 + 2 + 2 + 12 + 0 + 5 + 0 + 636 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 368943963 + ... + 368944293.

Almost surely, 2^122120506368 is an apocalyptic number.

122120506368 is a gapful number since it is divisible by the number (18) 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 122120506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221578088160).

122120506368 is an abundant number, since it is smaller than the sum of its proper divisors (321035669952).

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

122120506368 is a wasteful number, since it uses less digits than its factorization.

122120506368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 122120506368 its reverse (863605021221), we get a palindrome (985725527589).

The spelling of 122120506368 in words is "one hundred twenty-two billion, one hundred twenty million, five hundred six thousand, three hundred sixty-eight".