122552882452800 has 3024 divisors, whose sum is σ = 498843037335552. Its totient is φ = 29504582553600.

The previous prime is 122552882452697. The next prime is 122552882452867. The reversal of 122552882452800 is 8254288255221.

122552882452800 is a `hidden beast` number, since 1 + 2 + 2 + 552 + 8 + 8 + 2 + 4 + 5 + 2 + 80 + 0 = 666.

It is a super-4 number, since 4×122552882452800⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 964983326337 + ... + 964983326463.

Almost surely, 2^{122552882452800} is an apocalyptic number.

122552882452800 is a gapful number since it is divisible by the number (10) 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 122552882452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249421518667776).

122552882452800 is an abundant number, since it is smaller than the sum of its proper divisors (376290154882752).

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

122552882452800 is a wasteful number, since it uses less digits than its factorization.

122552882452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 54.

The spelling of 122552882452800 in words is "one hundred twenty-two trillion, five hundred fifty-two billion, eight hundred eighty-two million, four hundred fifty-two thousand, eight hundred".