2002112112000 has 1024 divisors, whose sum is σ = 8911432857600. Its totient is φ = 384012288000.

The previous prime is 2002112111969. The next prime is 2002112112023. The reversal of 2002112112000 is 2112112002.

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 127 ways as a sum of consecutive naturals, for example, 48027166 + ... + 48068834.

It is an arithmetic number, because the mean of its divisors is an integer number (8702571150).

Almost surely, 2^{2002112112000} is an apocalyptic number.

2002112112000 is a gapful number since it is divisible by the number (20) 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 2002112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455716428800).

2002112112000 is an abundant number, since it is smaller than the sum of its proper divisors (6909320745600).

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

2002112112000 is a wasteful number, since it uses less digits than its factorization.

2002112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41732 (or 41710 counting only the distinct ones).

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

Adding to 2002112112000 its reverse (2112112002), we get a palindrome (2004224224002).

It can be divided in two parts, 2002112 and 112000, that added together give a palindrome (2114112).

The spelling of 2002112112000 in words is "two trillion, two billion, one hundred twelve million, one hundred twelve thousand".