122272850952 has 192 divisors, whose sum is σ = 399799296000. Its totient is φ = 32978731392.

The previous prime is 122272850927. The next prime is 122272850969. The reversal of 122272850952 is 259058272221.

122272850952 is a `hidden beast` number, since 1 + 2 + 22 + 72 + 8 + 509 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122272850898 and 122272850907.

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, 2687449 + ... + 2732567.

It is an arithmetic number, because the mean of its divisors is an integer number (2082288000).

Almost surely, 2^122272850952 is an apocalyptic number.

122272850952 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 122272850952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199899648000).

122272850952 is an abundant number, since it is smaller than the sum of its proper divisors (277526445048).

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

122272850952 is a wasteful number, since it uses less digits than its factorization.

122272850952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45440 (or 45433 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 122272850952 in words is "one hundred twenty-two billion, two hundred seventy-two million, eight hundred fifty thousand, nine hundred fifty-two".