121199878800 has 2400 divisors, whose sum is σ = 605747729664. Its totient is φ = 22394880000.

The previous prime is 121199878771. The next prime is 121199878801. The reversal of 121199878800 is 8878991121.

It is a super-2 number, since 2×121199878800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121199878801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1199998750 + ... + 1199998850.

Almost surely, 2^121199878800 is an apocalyptic number.

121199878800 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 121199878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302873864832).

121199878800 is an abundant number, since it is smaller than the sum of its proper divisors (484547850864).

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

121199878800 is a wasteful number, since it uses less digits than its factorization.

121199878800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

It can be divided in two parts, 121199 and 878800, that added together give a palindrome (999999).

The spelling of 121199878800 in words is "one hundred twenty-one billion, one hundred ninety-nine million, eight hundred seventy-eight thousand, eight hundred".