121837080242400 has 288 divisors, whose sum is σ = 397753324657920. Its totient is φ = 32393770106880.

The previous prime is 121837080242341. The next prime is 121837080242413. The reversal of 121837080242400 is 4242080738121.

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, 7998225184 + ... + 7998240416.

It is an arithmetic number, because the mean of its divisors is an integer number (1381087932840).

Almost surely, 2^{121837080242400} is an apocalyptic number.

121837080242400 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 121837080242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198876662328960).

121837080242400 is an abundant number, since it is smaller than the sum of its proper divisors (275916244415520).

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

121837080242400 is a wasteful number, since it uses less digits than its factorization.

121837080242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24898 (or 24885 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 121837080242400 in words is "one hundred twenty-one trillion, eight hundred thirty-seven billion, eighty million, two hundred forty-two thousand, four hundred".