3012230312100 has 108 divisors (see below), whose sum is σ = 9446916109540. Its totient is φ = 802814976000.

The previous prime is 3012230312023. The next prime is 3012230312167. The reversal of 3012230312100 is 12130322103.

3012230312100 is a `hidden beast` number, since 30 + 1 + 223 + 0 + 312 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 948157902756 + 2064072409344 = 973734^2 + 1436688^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 691716 + ... + 2550084.

Almost surely, 2^{3012230312100} is an apocalyptic number.

3012230312100 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 3012230312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723458054770).

3012230312100 is an abundant number, since it is smaller than the sum of its proper divisors (6434685797440).

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

3012230312100 is a wasteful number, since it uses less digits than its factorization.

3012230312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860190 (or 1860180 counting only the distinct ones).

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

Adding to 3012230312100 its reverse (12130322103), we get a palindrome (3024360634203).

The spelling of 3012230312100 in words is "three trillion, twelve billion, two hundred thirty million, three hundred twelve thousand, one hundred".