126887712 has 96 divisors (see below), whose sum is σ = 393007104. Its totient is φ = 35078400.

The previous prime is 126887707. The next prime is 126887713. The reversal of 126887712 is 217788621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126887712² = 32200982913189888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (126887713) 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, 17787 + ... + 23877.

It is an arithmetic number, because the mean of its divisors is an integer number (4093824).

Almost surely, 2^126887712 is an apocalyptic number.

126887712 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 126887712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196503552).

126887712 is an abundant number, since it is smaller than the sum of its proper divisors (266119392).

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

126887712 is a wasteful number, since it uses less digits than its factorization.

126887712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6134 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 126887712 is about 11264.4445934986. Note that the first 3 decimals coincide. The cubic root of 126887712 is about 502.5043845067.

Subtracting 126887712 from its reverse (217788621), we obtain a palindrome (90900909).

The spelling of 126887712 in words is "one hundred twenty-six million, eight hundred eighty-seven thousand, seven hundred twelve".