122254322400 has 216 divisors, whose sum is σ = 492685122384. Its totient is φ = 27943833600.

The previous prime is 122254322357. The next prime is 122254322417. The reversal of 122254322400 is 4223452221.

122254322400 is a `hidden beast` number, since 1 + 2 + 2 + 254 + 3 + 2 + 2 + 400 = 666.

It is a super-2 number, since 2×122254322400² (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, 1162441 + ... + 1263240.

Almost surely, 2^122254322400 is an apocalyptic number.

122254322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122254322400 is an abundant number, since it is smaller than the sum of its proper divisors (370430799984).

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

122254322400 is a wasteful number, since it uses less digits than its factorization.

122254322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425714 (or 2425698 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 122254322400 its reverse (4223452221), we get a palindrome (126477774621).

The spelling of 122254322400 in words is "one hundred twenty-two billion, two hundred fifty-four million, three hundred twenty-two thousand, four hundred".