122533992 has 64 divisors (see below), whose sum is σ = 389001600. Its totient is φ = 35009280.

The previous prime is 122533981. The next prime is 122533993. The reversal of 122533992 is 299335221.

122533992 is a `hidden beast` number, since 12 + 253 + 399 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (122533993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39009 + ... + 42032.

It is an arithmetic number, because the mean of its divisors is an integer number (6078150).

Almost surely, 2^122533992 is an apocalyptic number.

122533992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122533992 is an abundant number, since it is smaller than the sum of its proper divisors (266467608).

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

122533992 is a wasteful number, since it uses less digits than its factorization.

122533992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81063 (or 81053 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 122533992 is about 11069.5073061090. The cubic root of 122533992 is about 496.6901271643.

The spelling of 122533992 in words is "one hundred twenty-two million, five hundred thirty-three thousand, nine hundred ninety-two".