121100112000 has 1536 divisors, whose sum is σ = 543319695360. Its totient is φ = 25214976000.

The previous prime is 121100111981. The next prime is 121100112013. The reversal of 121100112000 is 211001121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 634031905 + ... + 634032095.

It is an arithmetic number, because the mean of its divisors is an integer number (353723760).

Almost surely, 2^121100112000 is an apocalyptic number.

121100112000 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 121100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271659847680).

121100112000 is an abundant number, since it is smaller than the sum of its proper divisors (422219583360).

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

121100112000 is a wasteful number, since it uses less digits than its factorization.

121100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121100112000 its reverse (211001121), we get a palindrome (121311113121).

The spelling of 121100112000 in words is "one hundred twenty-one billion, one hundred million, one hundred twelve thousand".