122900181400 has 192 divisors, whose sum is σ = 310987908000. Its totient is φ = 45013708800.

The previous prime is 122900181353. The next prime is 122900181479. The reversal of 122900181400 is 4181009221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16978582 + ... + 16985818.

Almost surely, 2^122900181400 is an apocalyptic number.

122900181400 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 122900181400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155493954000).

122900181400 is an abundant number, since it is smaller than the sum of its proper divisors (188087726600).

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

122900181400 is a wasteful number, since it uses less digits than its factorization.

122900181400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 122900181400 in words is "one hundred twenty-two billion, nine hundred million, one hundred eighty-one thousand, four hundred".