412520356122 has 128 divisors (see below), whose sum is σ = 1016287641600. Its totient is φ = 111407607360.

The previous prime is 412520356121. The next prime is 412520356139. The reversal of 412520356122 is 221653025214.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (412520356121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2668128 + ... + 2818500.

It is an arithmetic number, because the mean of its divisors is an integer number (7939747200).

Almost surely, 2^412520356122 is an apocalyptic number.

412520356122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 412520356122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508143820800).

412520356122 is an abundant number, since it is smaller than the sum of its proper divisors (603767285478).

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

412520356122 is a wasteful number, since it uses less digits than its factorization.

412520356122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150473 (or 150459 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 412520356122 in words is "four hundred twelve billion, five hundred twenty million, three hundred fifty-six thousand, one hundred twenty-two".