122037628752 has 240 divisors, whose sum is σ = 382221036288. Its totient is φ = 37472232960.

The previous prime is 122037628733. The next prime is 122037628777. The reversal of 122037628752 is 257826730221.

122037628752 is a `hidden beast` number, since 1 + 220 + 376 + 2 + 8 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122037628698 and 122037628707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27342073 + ... + 27346535.

Almost surely, 2^122037628752 is an apocalyptic number.

122037628752 is a gapful number since it is divisible by the number (12) 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 122037628752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191110518144).

122037628752 is an abundant number, since it is smaller than the sum of its proper divisors (260183407536).

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

122037628752 is a wasteful number, since it uses less digits than its factorization.

122037628752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 122037628752 in words is "one hundred twenty-two billion, thirty-seven million, six hundred twenty-eight thousand, seven hundred fifty-two".