312101033220 has 432 divisors, whose sum is σ = 1035440340480. Its totient is φ = 75922209792.

The previous prime is 312101033191. The next prime is 312101033261. The reversal of 312101033220 is 22330101213.

312101033220 is a `hidden beast` number, since 31 + 210 + 103 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312101033193 and 312101033202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 300385461 + ... + 300386499.

It is an arithmetic number, because the mean of its divisors is an integer number (2396852640).

Almost surely, 2^312101033220 is an apocalyptic number.

312101033220 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 312101033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517720170240).

312101033220 is an abundant number, since it is smaller than the sum of its proper divisors (723339307260).

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

312101033220 is a wasteful number, since it uses less digits than its factorization.

312101033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1162 counting only the distinct ones).

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

Adding to 312101033220 its reverse (22330101213), we get a palindrome (334431134433).

The spelling of 312101033220 in words is "three hundred twelve billion, one hundred one million, thirty-three thousand, two hundred twenty".