3012100012000 has 144 divisors (see below), whose sum is σ = 7503551454672. Its totient is φ = 1188326937600.

The previous prime is 3012100011989. The next prime is 3012100012063. The reversal of 3012100012000 is 2100012103.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21245347 + ... + 21386653.

It is an arithmetic number, because the mean of its divisors is an integer number (52107996213).

Almost surely, 2^{3012100012000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012100012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751775727336).

3012100012000 is an abundant number, since it is smaller than the sum of its proper divisors (4491451442672).

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

3012100012000 is an equidigital number, since it uses as much as digits as its factorization.

3012100012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141478 (or 141387 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 3012100012000 its reverse (2100012103), we get a palindrome (3014200024103).

The spelling of 3012100012000 in words is "three trillion, twelve billion, one hundred million, twelve thousand".