1002322311312 has 160 divisors (see below), whose sum is σ = 2967262083072. Its totient is φ = 285602291712.

The previous prime is 1002322311307. The next prime is 1002322311313. The reversal of 1002322311312 is 2131132232001.

It is a super-2 number, since 2×1002322311312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1002322311313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276653533 + ... + 276657155.

Almost surely, 2^{1002322311312} is an apocalyptic number.

1002322311312 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 1002322311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483631041536).

1002322311312 is an abundant number, since it is smaller than the sum of its proper divisors (1964939771760).

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

1002322311312 is a wasteful number, since it uses less digits than its factorization.

1002322311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1002322311312 its reverse (2131132232001), we get a palindrome (3133454543313).

The spelling of 1002322311312 in words is "one trillion, two billion, three hundred twenty-two million, three hundred eleven thousand, three hundred twelve".