3012112113000 has 128 divisors (see below), whose sum is σ = 9399523011840. Its totient is φ = 803081760000.

The previous prime is 3012112112983. The next prime is 3012112113089. The reversal of 3012112113000 is 3112112103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16683210 + ... + 16862790.

It is an arithmetic number, because the mean of its divisors is an integer number (73433773530).

Almost surely, 2^{3012112113000} is an apocalyptic number.

3012112113000 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 3012112113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699761505920).

3012112113000 is an abundant number, since it is smaller than the sum of its proper divisors (6387410898840).

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

3012112113000 is a wasteful number, since it uses less digits than its factorization.

3012112113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185196 (or 185182 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 3012112113000 its reverse (3112112103), we get a palindrome (3015224225103).

The spelling of 3012112113000 in words is "three trillion, twelve billion, one hundred twelve million, one hundred thirteen thousand".