126912520 has 64 divisors (see below), whose sum is σ = 328538880. Its totient is φ = 43220736.

The previous prime is 126912503. The next prime is 126912521. The reversal of 126912520 is 25219621.

It is a super-4 number, since 4×126912520⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (126912521) 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, 42517 + ... + 45403.

It is an arithmetic number, because the mean of its divisors is an integer number (5133420).

Almost surely, 2^126912520 is an apocalyptic number.

126912520 is a gapful number since it is divisible by the number (10) 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 126912520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164269440).

126912520 is an abundant number, since it is smaller than the sum of its proper divisors (201626360).

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

126912520 is a wasteful number, since it uses less digits than its factorization.

126912520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 126912520 is about 11265.5457036044. The cubic root of 126912520 is about 502.5371308256.

The spelling of 126912520 in words is "one hundred twenty-six million, nine hundred twelve thousand, five hundred twenty".