1002220112000 has 64 divisors (see below), whose sum is σ = 2491769793240. Its totient is φ = 400888038400.

The previous prime is 1002220111999. The next prime is 1002220112011. The reversal of 1002220112000 is 2110222001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 241961674816 + 760258437184 = 491896^2 + 871928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1002220112000³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31303379 + ... + 31335378.

Almost surely, 2^{1002220112000} is an apocalyptic number.

1002220112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002220112000 is an abundant number, since it is smaller than the sum of its proper divisors (1489549681240).

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

1002220112000 is an frugal number, since it uses more digits than its factorization.

1002220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62638786 (or 62638764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002220112000 its reverse (2110222001), we get a palindrome (1004330334001).

The spelling of 1002220112000 in words is "one trillion, two billion, two hundred twenty million, one hundred twelve thousand".