122412206400 has 336 divisors, whose sum is σ = 443685411840. Its totient is φ = 29299046400.

The previous prime is 122412206387. The next prime is 122412206437. The reversal of 122412206400 is 4602214221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4156527 + ... + 4185873.

Almost surely, 2^122412206400 is an apocalyptic number.

122412206400 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 122412206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221842705920).

122412206400 is an abundant number, since it is smaller than the sum of its proper divisors (321273205440).

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

122412206400 is a wasteful number, since it uses less digits than its factorization.

122412206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29462 (or 29447 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 122412206400 in words is "one hundred twenty-two billion, four hundred twelve million, two hundred six thousand, four hundred".