122887634688 has 1296 divisors, whose sum is σ = 477015442176. Its totient is φ = 30098718720.

The previous prime is 122887634687. The next prime is 122887634707. The reversal of 122887634688 is 886436788221.

122887634688 is a `hidden beast` number, since 1 + 2 + 288 + 7 + 6 + 346 + 8 + 8 = 666.

It is a super-2 number, since 2×122887634688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122887634687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1683392220 + ... + 1683392292.

Almost surely, 2^122887634688 is an apocalyptic number.

122887634688 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 122887634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238507721088).

122887634688 is an abundant number, since it is smaller than the sum of its proper divisors (354127807488).

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

122887634688 is a wasteful number, since it uses less digits than its factorization.

122887634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 122887634688 in words is "one hundred twenty-two billion, eight hundred eighty-seven million, six hundred thirty-four thousand, six hundred eighty-eight".