121100113332000 has 1152 divisors, whose sum is σ = 491775435260928. Its totient is φ = 27956247552000.

The previous prime is 121100113331987. The next prime is 121100113332007. The reversal of 121100113332000 is 233311001121.

121100113332000 is a `hidden beast` number, since 1 + 21 + 100 + 11 + 333 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121100113332007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 688556074 + ... + 688731926.

It is an arithmetic number, because the mean of its divisors is an integer number (426888398664).

Almost surely, 2^{121100113332000} is an apocalyptic number.

121100113332000 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 121100113332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887717630464).

121100113332000 is an abundant number, since it is smaller than the sum of its proper divisors (370675321928928).

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

121100113332000 is a wasteful number, since it uses less digits than its factorization.

121100113332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175979 (or 175958 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121100113332000 its reverse (233311001121), we get a palindrome (121333424333121).

The spelling of 121100113332000 in words is "one hundred twenty-one trillion, one hundred billion, one hundred thirteen million, three hundred thirty-two thousand".