121389004598400 has 1536 divisors, whose sum is σ = 560710569369600. Its totient is φ = 25223577292800.

The previous prime is 121389004598293. The next prime is 121389004598447. The reversal of 121389004598400 is 4895400983121.

It is a happy number.

121389004598400 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 8 + 9 + 0 + 0 + 4 + 598 + 40 + 0 = 666.

121389004598400 is digitally balanced in base 4, 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 538764169 + ... + 538989431.

It is an arithmetic number, because the mean of its divisors is an integer number (365045943600).

Almost surely, 2^{121389004598400} is an apocalyptic number.

121389004598400 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 121389004598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280355284684800).

121389004598400 is an abundant number, since it is smaller than the sum of its proper divisors (439321564771200).

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

121389004598400 is an equidigital number, since it uses as much as digits as its factorization.

121389004598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225326 (or 225291 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 121389004598400 in words is "one hundred twenty-one trillion, three hundred eighty-nine billion, four million, five hundred ninety-eight thousand, four hundred".