412122016 has 48 divisors (see below), whose sum is σ = 847846440. Its totient is φ = 196940800.

The previous prime is 412121999. The next prime is 412122023. The reversal of 412122016 is 610221214.

It can be written as a sum of positive squares in 4 ways, for example, as 408201616 + 3920400 = 20204^2 + 1980^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412121984 and 412122002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91530 + ... + 95926.

Almost surely, 2^412122016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423923220).

412122016 is an abundant number, since it is smaller than the sum of its proper divisors (435724424).

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

412122016 is a wasteful number, since it uses less digits than its factorization.

412122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 412122016 is about 20300.7885561128. The cubic root of 412122016 is about 744.1753354057.

The spelling of 412122016 in words is "four hundred twelve million, one hundred twenty-two thousand, sixteen".