1002312111312 has 240 divisors, whose sum is σ = 2976088946688. Its totient is φ = 314402376960.

The previous prime is 1002312111223. The next prime is 1002312111347. The reversal of 1002312111312 is 2131112132001.

1002312111312 is a `hidden beast` number, since 10 + 0 + 231 + 2 + 111 + 312 = 666.

1002312111312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002312111312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43561603 + ... + 43584605.

Almost surely, 2^{1002312111312} is an apocalyptic number.

1002312111312 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 1002312111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488044473344).

1002312111312 is an abundant number, since it is smaller than the sum of its proper divisors (1973776835376).

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

1002312111312 is a wasteful number, since it uses less digits than its factorization.

1002312111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23318 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1002312111312 its reverse (2131112132001), we get a palindrome (3133424243313).

The spelling of 1002312111312 in words is "one trillion, two billion, three hundred twelve million, one hundred eleven thousand, three hundred twelve".