121568870400 has 720 divisors, whose sum is σ = 436865372160. Its totient is φ = 29727129600.

The previous prime is 121568870393. The next prime is 121568870429. The reversal of 121568870400 is 4078865121.

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, 957235137 + ... + 957235263.

Almost surely, 2^121568870400 is an apocalyptic number.

121568870400 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 121568870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218432686080).

121568870400 is an abundant number, since it is smaller than the sum of its proper divisors (315296501760).

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

121568870400 is a wasteful number, since it uses less digits than its factorization.

121568870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 121568870400 in words is "one hundred twenty-one billion, five hundred sixty-eight million, eight hundred seventy thousand, four hundred".