3114412222320 has 360 divisors, whose sum is σ = 12697919748384. Its totient is φ = 669990887424.

The previous prime is 3114412222319. The next prime is 3114412222321. The reversal of 3114412222320 is 232222144113.

3114412222320 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 412 + 2 + 223 + 20 = 666.

3114412222320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3114412222319) and next prime (3114412222321).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3114412222320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114412222321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387462 + ... + 2525658.

Almost surely, 2^{3114412222320} is an apocalyptic number.

3114412222320 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 3114412222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348959874192).

3114412222320 is an abundant number, since it is smaller than the sum of its proper divisors (9583507526064).

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

3114412222320 is a wasteful number, since it uses less digits than its factorization.

3114412222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138257 (or 2138231 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3114412222320 its reverse (232222144113), we get a palindrome (3346634366433).

The spelling of 3114412222320 in words is "three trillion, one hundred fourteen billion, four hundred twelve million, two hundred twenty-two thousand, three hundred twenty".