1002112200012 has 288 divisors, whose sum is σ = 3072952802304. Its totient is φ = 251166787200.

The previous prime is 1002112199989. The next prime is 1002112200013. The reversal of 1002112200012 is 2100022112001.

It is a super-2 number, since 2×1002112200012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1002112200013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062587 + ... + 23105997.

It is an arithmetic number, because the mean of its divisors is an integer number (10669975008).

Almost surely, 2^{1002112200012} is an apocalyptic number.

1002112200012 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 1002112200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536476401152).

1002112200012 is an abundant number, since it is smaller than the sum of its proper divisors (2070840602292).

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

1002112200012 is a wasteful number, since it uses less digits than its factorization.

1002112200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43569 (or 43560 counting only the distinct ones).

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

Adding to 1002112200012 its reverse (2100022112001), we get a palindrome (3102134312013).

The spelling of 1002112200012 in words is "one trillion, two billion, one hundred twelve million, two hundred thousand, twelve".