2212002112000 has 160 divisors (see below), whose sum is σ = 5538691130544. Its totient is φ = 881123328000.

The previous prime is 2212002111967. The next prime is 2212002112031. The reversal of 2212002112000 is 2112002122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 797120409856 + 1414881702144 = 892816^2 + 1189488^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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, 15352294 + ... + 15495706.

Almost surely, 2^{2212002112000} is an apocalyptic number.

2212002112000 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 2212002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769345565272).

2212002112000 is an abundant number, since it is smaller than the sum of its proper divisors (3326689018544).

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

2212002112000 is an equidigital number, since it uses as much as digits as its factorization.

2212002112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143687 (or 143661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2212002112000 its reverse (2112002122), we get a palindrome (2214114114122).

The spelling of 2212002112000 in words is "two trillion, two hundred twelve billion, two million, one hundred twelve thousand".