2002001120112 has 320 divisors, whose sum is σ = 6127566382080. Its totient is φ = 551384064000.

The previous prime is 2002001120099. The next prime is 2002001120131. The reversal of 2002001120112 is 2110211002002.

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

It is a congruent number.

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, 901395162 + ... + 901397382.

It is an arithmetic number, because the mean of its divisors is an integer number (19148644944).

Almost surely, 2^{2002001120112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002001120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063783191040).

2002001120112 is an abundant number, since it is smaller than the sum of its proper divisors (4125565261968).

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

2002001120112 is a wasteful number, since it uses less digits than its factorization.

2002001120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3066 counting only the distinct ones).

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

Adding to 2002001120112 its reverse (2110211002002), we get a palindrome (4112212122114).

The spelling of 2002001120112 in words is "two trillion, two billion, one million, one hundred twenty thousand, one hundred twelve".