3112123023000 has 288 divisors, whose sum is σ = 10894233317760. Its totient is φ = 801280300800.

The previous prime is 3112123022977. The next prime is 3112123023007. The reversal of 3112123023000 is 3203212113.

3112123023000 is a `hidden beast` number, since 311 + 2 + 123 + 0 + 230 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112123023007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7363417 + ... + 7774583.

It is an arithmetic number, because the mean of its divisors is an integer number (37827199020).

Almost surely, 2^{3112123023000} is an apocalyptic number.

3112123023000 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 3112123023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447116658880).

3112123023000 is an abundant number, since it is smaller than the sum of its proper divisors (7782110294760).

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

3112123023000 is a wasteful number, since it uses less digits than its factorization.

3112123023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411252 (or 411206 counting only the distinct ones).

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

Adding to 3112123023000 its reverse (3203212113), we get a palindrome (3115326235113).

The spelling of 3112123023000 in words is "three trillion, one hundred twelve billion, one hundred twenty-three million, twenty-three thousand".