12411792 has 100 divisors (see below), whose sum is σ = 36744796. Its totient is φ = 4043520.

The previous prime is 12411787. The next prime is 12411799. The reversal of 12411792 is 29711421.

12411792 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 10732176 = 1296^2 + 3276^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12411799) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78978 + ... + 79134.

Almost surely, 2^12411792 is an apocalyptic number.

12411792 is a gapful number since it is divisible by the number (12) 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 12411792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372398).

12411792 is an abundant number, since it is smaller than the sum of its proper divisors (24333004).

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

12411792 is a wasteful number, since it uses less digits than its factorization.

12411792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12411792 is about 3523.0373259448. The cubic root of 12411792 is about 231.5322521916.

It can be divided in two parts, 12411 and 792, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12411792 in words is "twelve million, four hundred eleven thousand, seven hundred ninety-two".