126611412 has 48 divisors (see below), whose sum is σ = 309184512. Its totient is φ = 40249440.

The previous prime is 126611377. The next prime is 126611413. The reversal of 126611412 is 214116621.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126611413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173793 + ... + 174519.

It is an arithmetic number, because the mean of its divisors is an integer number (6441344).

Almost surely, 2^126611412 is an apocalyptic number.

126611412 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 126611412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154592256).

126611412 is an abundant number, since it is smaller than the sum of its proper divisors (182573100).

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

126611412 is a wasteful number, since it uses less digits than its factorization.

126611412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1386 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 126611412 is about 11252.1736566763. The cubic root of 126611412 is about 502.1393823637.

The spelling of 126611412 in words is "one hundred twenty-six million, six hundred eleven thousand, four hundred twelve".