121002122000 has 80 divisors (see below), whose sum is σ = 294100043952. Its totient is φ = 48149913600.

The previous prime is 121002121897. The next prime is 121002122009. The reversal of 121002122000 is 221200121.

It is a happy number.

121002122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27143221504 + 93858900496 = 164752^2 + 306364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (121002122009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229262 + ... + 542738.

Almost surely, 2^121002122000 is an apocalyptic number.

121002122000 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 121002122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147050021976).

121002122000 is an abundant number, since it is smaller than the sum of its proper divisors (173097921952).

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

121002122000 is a wasteful number, since it uses less digits than its factorization.

121002122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313693 (or 313677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121002122000 its reverse (221200121), we get a palindrome (121223322121).

The spelling of 121002122000 in words is "one hundred twenty-one billion, two million, one hundred twenty-two thousand".