3102012000000 has 756 divisors, whose sum is σ = 11261816784400. Its totient is φ = 821145600000.

The previous prime is 3102011999981. The next prime is 3102012000001. The reversal of 3102012000000 is 2102013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102012000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7163999784 + ... + 7164000216.

Almost surely, 2^{3102012000000} is an apocalyptic number.

3102012000000 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 3102012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630908392200).

3102012000000 is an abundant number, since it is smaller than the sum of its proper divisors (8159804784400).

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

3102012000000 is an frugal number, since it uses more digits than its factorization.

3102012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 3102012000000 its reverse (2102013), we get a palindrome (3102014102013).

The spelling of 3102012000000 in words is "three trillion, one hundred two billion, twelve million", and thus it is an aban number.