126017120 has 48 divisors (see below), whose sum is σ = 313392240. Its totient is φ = 47752704.

The previous prime is 126017113. The next prime is 126017131. The reversal of 126017120 is 21710621.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 126017092 and 126017101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17687 + ... + 23766.

It is an arithmetic number, because the mean of its divisors is an integer number (6529005).

Almost surely, 2^126017120 is an apocalyptic number.

126017120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126017120 is an abundant number, since it is smaller than the sum of its proper divisors (187375120).

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

126017120 is a wasteful number, since it uses less digits than its factorization.

126017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41487 (or 41479 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 126017120 is about 11225.7347198301. The cubic root of 126017120 is about 501.3524981985.

Adding to 126017120 its reverse (21710621), we get a palindrome (147727741).

The spelling of 126017120 in words is "one hundred twenty-six million, seventeen thousand, one hundred twenty".