3023112312000 has 1344 divisors, whose sum is σ = 12895964909568. Its totient is φ = 667422720000.

The previous prime is 3023112311977. The next prime is 3023112312007. The reversal of 3023112312000 is 2132113203.

3023112312000 is a `hidden beast` number, since 3 + 0 + 231 + 1 + 231 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3023112312007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 417380379 + ... + 417387621.

Almost surely, 2^{3023112312000} is an apocalyptic number.

3023112312000 is a gapful number since it is divisible by the number (30) 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 3023112312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447982454784).

3023112312000 is an abundant number, since it is smaller than the sum of its proper divisors (9872852597568).

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

3023112312000 is a wasteful number, since it uses less digits than its factorization.

3023112312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3023112312000 its reverse (2132113203), we get a palindrome (3025244425203).

The spelling of 3023112312000 in words is "three trillion, twenty-three billion, one hundred twelve million, three hundred twelve thousand".