122534496 has 216 divisors, whose sum is σ = 427616280. Its totient is φ = 33094656.

The previous prime is 122534479. The next prime is 122534497. The reversal of 122534496 is 694435221.

It is a happy number.

122534496 is a `hidden beast` number, since 1 + 225 + 344 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122534496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122534497) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267900 + ... + 268356.

It is an arithmetic number, because the mean of its divisors is an integer number (1979705).

Almost surely, 2^122534496 is an apocalyptic number.

122534496 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 122534496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213808140).

122534496 is an abundant number, since it is smaller than the sum of its proper divisors (305081784).

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

122534496 is a wasteful number, since it uses less digits than its factorization.

122534496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 122534496 is about 11069.5300713264. The cubic root of 122534496 is about 496.6908081494.

It can be divided in two parts, 1225 and 34496, that added together give a square (35721 = 189²).

The spelling of 122534496 in words is "one hundred twenty-two million, five hundred thirty-four thousand, four hundred ninety-six".