121884084400 has 180 divisors, whose sum is σ = 319603567872. Its totient is φ = 44645852160.

The previous prime is 121884084383. The next prime is 121884084403. The reversal of 121884084400 is 4480488121.

121884084400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (121884084403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8578102 + ... + 8592298.

Almost surely, 2^121884084400 is an apocalyptic number.

121884084400 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 121884084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159801783936).

121884084400 is an abundant number, since it is smaller than the sum of its proper divisors (197719483472).

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

121884084400 is a wasteful number, since it uses less digits than its factorization.

121884084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14368 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 121884084400 in words is "one hundred twenty-one billion, eight hundred eighty-four million, eighty-four thousand, four hundred".