122316332400 has 180 divisors, whose sum is σ = 426296340288. Its totient is φ = 32477475840.

The previous prime is 122316332393. The next prime is 122316332441. The reversal of 122316332400 is 4233613221.

122316332400 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 633 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×122316332400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 765889 + ... + 911711.

Almost surely, 2^122316332400 is an apocalyptic number.

122316332400 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 122316332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213148170144).

122316332400 is an abundant number, since it is smaller than the sum of its proper divisors (303980007888).

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

122316332400 is a wasteful number, since it uses less digits than its factorization.

122316332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146080 (or 146066 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122316332400 its reverse (4233613221), we get a palindrome (126549945621).

The spelling of 122316332400 in words is "one hundred twenty-two billion, three hundred sixteen million, three hundred thirty-two thousand, four hundred".