312220013030100 has 864 divisors, whose sum is σ = 1169090670908160. Its totient is φ = 70797635850240.

The previous prime is 312220013030099. The next prime is 312220013030141. The reversal of 312220013030100 is 1030310022213.

312220013030100 is a `hidden beast` number, since 3 + 12 + 220 + 0 + 130 + 301 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46537485546 + ... + 46537492254.

It is an arithmetic number, because the mean of its divisors is an integer number (1353114202440).

Almost surely, 2^{312220013030100} is an apocalyptic number.

312220013030100 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 312220013030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584545335454080).

312220013030100 is an abundant number, since it is smaller than the sum of its proper divisors (856870657878060).

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

312220013030100 is a wasteful number, since it uses less digits than its factorization.

312220013030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8879 (or 8860 counting only the distinct ones).

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

Adding to 312220013030100 its reverse (1030310022213), we get a palindrome (313250323052313).

The spelling of 312220013030100 in words is "three hundred twelve trillion, two hundred twenty billion, thirteen million, thirty thousand, one hundred".