126010038 has 64 divisors (see below), whose sum is σ = 321564672. Its totient is φ = 31963680.

The previous prime is 126010013. The next prime is 126010039. The reversal of 126010038 is 830010621.

It is a super-2 number, since 2×126010038² = 31757059353522888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126009996 and 126010023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126010039) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16695 + ... + 23037.

It is an arithmetic number, because the mean of its divisors is an integer number (5024448).

Almost surely, 2^126010038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126010038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160782336).

126010038 is an abundant number, since it is smaller than the sum of its proper divisors (195554634).

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

126010038 is a wasteful number, since it uses less digits than its factorization.

126010038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 126010038 is about 11225.4192794746. The cubic root of 126010038 is about 501.3431062341.

Adding to 126010038 its reverse (830010621), we get a palindrome (956020659).

The spelling of 126010038 in words is "one hundred twenty-six million, ten thousand, thirty-eight".