121022112000 has 288 divisors, whose sum is σ = 402717579264. Its totient is φ = 32212992000.

The previous prime is 121022111999. The next prime is 121022112031. The reversal of 121022112000 is 211220121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 82271265 + ... + 82272735.

It is an arithmetic number, because the mean of its divisors is an integer number (1398324928).

Almost surely, 2^121022112000 is an apocalyptic number.

121022112000 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 121022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201358789632).

121022112000 is an abundant number, since it is smaller than the sum of its proper divisors (281695467264).

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

121022112000 is an equidigital number, since it uses as much as digits as its factorization.

121022112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121022112000 its reverse (211220121), we get a palindrome (121233332121).

It can be divided in two parts, 1210221 and 12000, that added together give a palindrome (1222221).

The spelling of 121022112000 in words is "one hundred twenty-one billion, twenty-two million, one hundred twelve thousand".