122496133824 has 168 divisors, whose sum is σ = 358527461760. Its totient is φ = 39973220352.

The previous prime is 122496133819. The next prime is 122496133829. The reversal of 122496133824 is 428331694221.

122496133824 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 9 + 613 + 3 + 8 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (122496133819) and next prime (122496133829).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122496133824.

It is not an unprimeable number, because it can be changed into a prime (122496133829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14618724 + ... + 14627100.

Almost surely, 2^122496133824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122496133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179263730880).

122496133824 is an abundant number, since it is smaller than the sum of its proper divisors (236031327936).

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

122496133824 is a wasteful number, since it uses less digits than its factorization.

122496133824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8927 (or 8914 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 122496133824 in words is "one hundred twenty-two billion, four hundred ninety-six million, one hundred thirty-three thousand, eight hundred twenty-four".