1002012002112 has 224 divisors, whose sum is σ = 2925409488768. Its totient is φ = 300160000000.

The previous prime is 1002012002081. The next prime is 1002012002161. The reversal of 1002012002112 is 2112002102001.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149528362 + ... + 149535062.

Almost surely, 2^{1002012002112} is an apocalyptic number.

1002012002112 is a gapful number since it is divisible by the number (12) 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 1002012002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462704744384).

1002012002112 is an abundant number, since it is smaller than the sum of its proper divisors (1923397486656).

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

1002012002112 is a wasteful number, since it uses less digits than its factorization.

1002012002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7519 counting only the distinct ones).

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

Adding to 1002012002112 its reverse (2112002102001), we get a palindrome (3114014104113).

The spelling of 1002012002112 in words is "one trillion, two billion, twelve million, two thousand, one hundred twelve".