121112134400 has 216 divisors, whose sum is σ = 320246471664. Its totient is φ = 45187072000.

The previous prime is 121112134307. The next prime is 121112134421. The reversal of 121112134400 is 4431211121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12289475 + ... + 12299325.

It is an arithmetic number, because the mean of its divisors is an integer number (1482622554).

Almost surely, 2^121112134400 is an apocalyptic number.

121112134400 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 121112134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160123235832).

121112134400 is an abundant number, since it is smaller than the sum of its proper divisors (199134337264).

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

121112134400 is a wasteful number, since it uses less digits than its factorization.

121112134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 121112134400 its reverse (4431211121), we get a palindrome (125543345521).

The spelling of 121112134400 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred thirty-four thousand, four hundred".