126126312 has 32 divisors (see below), whose sum is σ = 339571680. Its totient is φ = 38808000.

The previous prime is 126126283. The next prime is 126126323. The reversal of 126126312 is 213621621.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201814 + ... + 202437.

It is an arithmetic number, because the mean of its divisors is an integer number (10611615).

Almost surely, 2^126126312 is an apocalyptic number.

126126312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126126312 is an abundant number, since it is smaller than the sum of its proper divisors (213445368).

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

126126312 is a wasteful number, since it uses less digits than its factorization.

126126312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404273 (or 404269 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 126126312 is about 11230.5971346140. The cubic root of 126126312 is about 501.4972612753.

Adding to 126126312 its reverse (213621621), we get a palindrome (339747933).

The spelling of 126126312 in words is "one hundred twenty-six million, one hundred twenty-six thousand, three hundred twelve".