2002121211120 has 80 divisors (see below), whose sum is σ = 6209713445760. Its totient is φ = 533629080832.

The previous prime is 2002121211047. The next prime is 2002121211161. The reversal of 2002121211120 is 211121212002.

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

It is a super-2 number, since 2×2002121211120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002121211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1632714 + ... + 2582633.

It is an arithmetic number, because the mean of its divisors is an integer number (77621418072).

Almost surely, 2^{2002121211120} is an apocalyptic number.

2002121211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002121211120 is an abundant number, since it is smaller than the sum of its proper divisors (4207592234640).

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

2002121211120 is a wasteful number, since it uses less digits than its factorization.

2002121211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217342 (or 4217336 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2002121211120 its reverse (211121212002), we get a palindrome (2213242423122).

The spelling of 2002121211120 in words is "two trillion, two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".