412412313120 has 192 divisors, whose sum is σ = 1312842795264. Its totient is φ = 108814970880.

The previous prime is 412412313113. The next prime is 412412313179. The reversal of 412412313120 is 21313214214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71833450 + ... + 71839190.

It is an arithmetic number, because the mean of its divisors is an integer number (6837722892).

Almost surely, 2^412412313120 is an apocalyptic number.

412412313120 is a gapful number since it is divisible by the number (40) 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 412412313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656421397632).

412412313120 is an abundant number, since it is smaller than the sum of its proper divisors (900430482144).

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

412412313120 is a wasteful number, since it uses less digits than its factorization.

412412313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 412412313120 its reverse (21313214214), we get a palindrome (433725527334).

The spelling of 412412313120 in words is "four hundred twelve billion, four hundred twelve million, three hundred thirteen thousand, one hundred twenty".