121110202112000 has 384 divisors, whose sum is σ = 323164186712640. Its totient is φ = 45142835200000.

The previous prime is 121110202111981. The next prime is 121110202112023. The reversal of 121110202112000 is 211202011121.

121110202112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439414235 + ... + 439689765.

Almost surely, 2^{121110202112000} is an apocalyptic number.

121110202112000 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 121110202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161582093356320).

121110202112000 is an abundant number, since it is smaller than the sum of its proper divisors (202053984600640).

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

121110202112000 is a wasteful number, since it uses less digits than its factorization.

121110202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275686 (or 275656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121110202112000 its reverse (211202011121), we get a palindrome (121321404123121).

The spelling of 121110202112000 in words is "one hundred twenty-one trillion, one hundred ten billion, two hundred two million, one hundred twelve thousand".