121012122000 has 640 divisors, whose sum is σ = 496850485248. Its totient is φ = 24605952000.

The previous prime is 121012121999. The next prime is 121012122017. The reversal of 121012122000 is 221210121.

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 127 ways as a sum of consecutive naturals, for example, 21711214 + ... + 21716786.

Almost surely, 2^121012122000 is an apocalyptic number.

121012122000 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 121012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248425242624).

121012122000 is an abundant number, since it is smaller than the sum of its proper divisors (375838363248).

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

121012122000 is a wasteful number, since it uses less digits than its factorization.

121012122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5648 counting only the distinct ones).

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

Adding to 121012122000 its reverse (221210121), we get a palindrome (121233332121).

The spelling of 121012122000 in words is "one hundred twenty-one billion, twelve million, one hundred twenty-two thousand".