126020 has 12 divisors (see below), whose sum is σ = 264684. Its totient is φ = 50400.

The previous prime is 126019. The next prime is 126023. The reversal of 126020 is 20621.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 64516 = 248^2 + 254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125992 and 126010.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126020.

It is not an unprimeable number, because it can be changed into a prime (126023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3131 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (22057).

2¹²⁶⁰²⁰ is an apocalyptic number.

126020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126020 is an abundant number, since it is smaller than the sum of its proper divisors (138664).

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

126020 is a wasteful number, since it uses less digits than its factorization.

126020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 126020 is about 354.9929576766. The cubic root of 126020 is about 50.1356317479.

Adding to 126020 its reverse (20621), we get a palindrome (146641).

It can be divided in two parts, 1260 and 20, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 126020 in words is "one hundred twenty-six thousand, twenty".