121116408098400 has 1296 divisors, whose sum is σ = 521863087374720. Its totient is φ = 26228606976000.

The previous prime is 121116408098381. The next prime is 121116408098423. The reversal of 121116408098400 is 4890804611121.

121116408098400 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 164 + 0 + 80 + 9 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 350921116 + ... + 351266084.

It is an arithmetic number, because the mean of its divisors is an integer number (402672135320).

Almost surely, 2^{121116408098400} is an apocalyptic number.

121116408098400 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 121116408098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260931543687360).

121116408098400 is an abundant number, since it is smaller than the sum of its proper divisors (400746679276320).

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

121116408098400 is a wasteful number, since it uses less digits than its factorization.

121116408098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345061 (or 345034 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 121116408098400 in words is "one hundred twenty-one trillion, one hundred sixteen billion, four hundred eight million, ninety-eight thousand, four hundred".