126012761 has 12 divisors (see below), whose sum is σ = 146873268. Its totient is φ = 107799552.

The previous prime is 126012739. The next prime is 126012767. The reversal of 126012761 is 167210621.

It can be written as a sum of positive squares in 2 ways, for example, as 112763161 + 13249600 = 10619^2 + 3640^2 .

It is not a de Polignac number, because 126012761 - 2¹⁸ = 125750617 is a prime.

It is a super-3 number, since 3×126012761³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126012761.

It is not an unprimeable number, because it can be changed into a prime (126012767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26045 + ... + 30501.

It is an arithmetic number, because the mean of its divisors is an integer number (12239439).

Almost surely, 2^126012761 is an apocalyptic number.

It is an amenable number.

126012761 is a deficient number, since it is larger than the sum of its proper divisors (20860507).

126012761 is an equidigital number, since it uses as much as digits as its factorization.

126012761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 126012761 is about 11225.5405660485. The cubic root of 126012761 is about 501.3467174476.

The spelling of 126012761 in words is "one hundred twenty-six million, twelve thousand, seven hundred sixty-one".