126412272 has 160 divisors (see below), whose sum is σ = 439257600. Its totient is φ = 33979392.

The previous prime is 126412271. The next prime is 126412277. The reversal of 126412272 is 272214621.

126412272 is a `hidden beast` number, since 12 + 641 + 2 + 2 + 7 + 2 = 666.

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

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 (126412271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50179 + ... + 52637.

It is an arithmetic number, because the mean of its divisors is an integer number (2745360).

Almost surely, 2^126412272 is an apocalyptic number.

126412272 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 126412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219628800).

126412272 is an abundant number, since it is smaller than the sum of its proper divisors (312845328).

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

126412272 is a wasteful number, since it uses less digits than its factorization.

126412272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2488 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 126412272 is about 11243.3212175051. The cubic root of 126412272 is about 501.8759819142.

Adding to 126412272 its reverse (272214621), we get a palindrome (398626893).

The spelling of 126412272 in words is "one hundred twenty-six million, four hundred twelve thousand, two hundred seventy-two".