412311113120 has 48 divisors (see below), whose sum is σ = 987428662920. Its totient is φ = 162665201664.

The previous prime is 412311113117. The next prime is 412311113143. The reversal of 412311113120 is 21311113214.

It can be written as a sum of positive squares in 4 ways, for example, as 342651012496 + 69660100624 = 585364^2 + 263932^2 .

It is a super-2 number, since 2×412311113120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 412311113092 and 412311113101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17638625 + ... + 17661984.

Almost surely, 2^412311113120 is an apocalyptic number.

412311113120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412311113120 is an abundant number, since it is smaller than the sum of its proper divisors (575117549800).

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

412311113120 is a wasteful number, since it uses less digits than its factorization.

412311113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35300697 (or 35300689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 412311113120 its reverse (21311113214), we get a palindrome (433622226334).

The spelling of 412311113120 in words is "four hundred twelve billion, three hundred eleven million, one hundred thirteen thousand, one hundred twenty".