125012034 has 72 divisors (see below), whose sum is σ = 322859628. Its totient is φ = 34836480.

The previous prime is 125012023. The next prime is 125012047. The reversal of 125012034 is 430210521.

It can be written as a sum of positive squares in 2 ways, for example, as 83448225 + 41563809 = 9135^2 + 6447^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 125011998 and 125012016.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34434 + ... + 37890.

Almost surely, 2^125012034 is an apocalyptic number.

125012034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125012034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161429814).

125012034 is an abundant number, since it is smaller than the sum of its proper divisors (197847594).

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

125012034 is a wasteful number, since it uses less digits than its factorization.

125012034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125012034 is about 11180.8780513876. The cubic root of 125012034 is about 500.0160448185.

Adding to 125012034 its reverse (430210521), we get a palindrome (555222555).

It can be divided in two parts, 12501 and 2034, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 125012034 in words is "one hundred twenty-five million, twelve thousand, thirty-four".