121022112011000 has 192 divisors, whose sum is σ = 296383914328320. Its totient is φ = 46250283129600.

The previous prime is 121022112010981. The next prime is 121022112011029. The reversal of 121022112011000 is 110211220121.

121022112011000 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 47 ways as a sum of consecutive naturals, for example, 456394454 + ... + 456659546.

It is an arithmetic number, because the mean of its divisors is an integer number (1543666220460).

Almost surely, 2^{121022112011000} is an apocalyptic number.

121022112011000 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 121022112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148191957164160).

121022112011000 is an abundant number, since it is smaller than the sum of its proper divisors (175361802317320).

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

121022112011000 is a wasteful number, since it uses less digits than its factorization.

121022112011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266023 (or 265986 counting only the distinct ones).

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

Adding to 121022112011000 its reverse (110211220121), we get a palindrome (121132323231121).

The spelling of 121022112011000 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred twelve million, eleven thousand".