312102211320 has 192 divisors, whose sum is σ = 1067602273920. Its totient is φ = 81984887424.

The previous prime is 312102211297. The next prime is 312102211331. The reversal of 312102211320 is 23112201213.

312102211320 is a `hidden beast` number, since 3 + 121 + 0 + 221 + 1 + 320 = 666.

It is a super-2 number, since 2×312102211320² (a number of 24 digits) contains 22 as substring.

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 = 312102211293 and 312102211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411619 + ... + 890861.

It is an arithmetic number, because the mean of its divisors is an integer number (5560428510).

Almost surely, 2^312102211320 is an apocalyptic number.

312102211320 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 312102211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533801136960).

312102211320 is an abundant number, since it is smaller than the sum of its proper divisors (755500062600).

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

312102211320 is a wasteful number, since it uses less digits than its factorization.

312102211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479336 (or 479320 counting only the distinct ones).

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

Adding to 312102211320 its reverse (23112201213), we get a palindrome (335214412533).

The spelling of 312102211320 in words is "three hundred twelve billion, one hundred two million, two hundred eleven thousand, three hundred twenty".