121200002002002 has 128 divisors (see below), whose sum is σ = 302845281435648. Its totient is φ = 31414669646400.

The previous prime is 121200002001983. The next prime is 121200002002063. The reversal of 121200002002002 is 200200200002121.

121200002002002 is a modest number, since divided by 2002002 gives 121200 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2907360403 + ... + 2907402089.

It is an arithmetic number, because the mean of its divisors is an integer number (2365978761216).

Almost surely, 2^{121200002002002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121200002002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151422640717824).

121200002002002 is an abundant number, since it is smaller than the sum of its proper divisors (181645279433646).

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

121200002002002 is a wasteful number, since it uses less digits than its factorization.

121200002002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54724.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 121200002002002 its reverse (200200200002121), we get a palindrome (321400202004123).

The spelling of 121200002002002 in words is "one hundred twenty-one trillion, two hundred billion, two million, two thousand, two".