122180828400 has 360 divisors, whose sum is σ = 432579619680. Its totient is φ = 31926528000.

The previous prime is 122180828389. The next prime is 122180828501. The reversal of 122180828400 is 4828081221.

122180828400 is a `hidden beast` number, since 1 + 221 + 8 + 0 + 8 + 28 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68294706 + ... + 68296494.

Almost surely, 2^122180828400 is an apocalyptic number.

122180828400 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 122180828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216289809840).

122180828400 is an abundant number, since it is smaller than the sum of its proper divisors (310398791280).

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

122180828400 is a wasteful number, since it uses less digits than its factorization.

122180828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 122180828400 in words is "one hundred twenty-two billion, one hundred eighty million, eight hundred twenty-eight thousand, four hundred".