2002112199906 has 128 divisors (see below), whose sum is σ = 5107913986560. Its totient is φ = 509044580352.

The previous prime is 2002112199863. The next prime is 2002112199907. The reversal of 2002112199906 is 6099912112002.

It is a super-2 number, since 2×2002112199906² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2002112199907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1747410 + ... + 2656626.

It is an arithmetic number, because the mean of its divisors is an integer number (39905578020).

Almost surely, 2^{2002112199906} is an apocalyptic number.

2002112199906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002112199906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553956993280).

2002112199906 is an abundant number, since it is smaller than the sum of its proper divisors (3105801786654).

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

2002112199906 is a wasteful number, since it uses less digits than its factorization.

2002112199906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909388.

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 2002112199906 in words is "two trillion, two billion, one hundred twelve million, one hundred ninety-nine thousand, nine hundred six".