412101312 has 112 divisors (see below), whose sum is σ = 1267480320. Its totient is φ = 115725312.

The previous prime is 412101257. The next prime is 412101329. The reversal of 412101312 is 213101214.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 412101291 and 412101300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76698 + ... + 81894.

Almost surely, 2^412101312 is an apocalyptic number.

412101312 is a gapful number since it is divisible by the number (42) 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 412101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633740160).

412101312 is an abundant number, since it is smaller than the sum of its proper divisors (855379008).

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

412101312 is a wasteful number, since it uses less digits than its factorization.

412101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 412101312 is about 20300.2786187776. The cubic root of 412101312 is about 744.1628733487.

Adding to 412101312 its reverse (213101214), we get a palindrome (625202526).

The spelling of 412101312 in words is "four hundred twelve million, one hundred one thousand, three hundred twelve".