3012212211300 has 108 divisors (see below), whose sum is σ = 9446270890420. Its totient is φ = 802860215040.

The previous prime is 3012212211259. The next prime is 3012212211347. The reversal of 3012212211300 is 31122122103.

3012212211300 is a `hidden beast` number, since 30 + 122 + 1 + 2 + 211 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 409694725476 + 2602517485824 = 640074^2 + 1613232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1001334 + ... + 2650866.

Almost surely, 2^{3012212211300} is an apocalyptic number.

3012212211300 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 3012212211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723135445210).

3012212211300 is an abundant number, since it is smaller than the sum of its proper divisors (6434058679120).

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

3012212211300 is a wasteful number, since it uses less digits than its factorization.

3012212211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651582 (or 1651572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3012212211300 its reverse (31122122103), we get a palindrome (3043334333403).

The spelling of 3012212211300 in words is "three trillion, twelve billion, two hundred twelve million, two hundred eleven thousand, three hundred".