122004138816 has 840 divisors, whose sum is σ = 469212289920. Its totient is φ = 31060205568.

The previous prime is 122004138709. The next prime is 122004138847. The reversal of 122004138816 is 618831400221.

122004138816 is a `hidden beast` number, since 1 + 220 + 0 + 41 + 388 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82046425 + ... + 82047911.

Almost surely, 2^122004138816 is an apocalyptic number.

122004138816 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 122004138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234606144960).

122004138816 is an abundant number, since it is smaller than the sum of its proper divisors (347208151104).

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

122004138816 is a wasteful number, since it uses less digits than its factorization.

122004138816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 122004138816 in words is "one hundred twenty-two billion, four million, one hundred thirty-eight thousand, eight hundred sixteen".