126301032 has 320 divisors, whose sum is σ = 439084800. Its totient is φ = 33384960.

The previous prime is 126301009. The next prime is 126301051. The reversal of 126301032 is 230103621.

126301032 is a `hidden beast` number, since 1 + 2 + 630 + 1 + 0 + 32 = 666.

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 = 126300996 and 126301014.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2687233 + ... + 2687279.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^126301032 is an apocalyptic number.

126301032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126301032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

126301032 is an abundant number, since it is smaller than the sum of its proper divisors (312783768).

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

126301032 is a wasteful number, since it uses less digits than its factorization.

126301032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 126301032 is about 11238.3731918815. The cubic root of 126301032 is about 501.7287254615.

Adding to 126301032 its reverse (230103621), we get a palindrome (356404653).

The spelling of 126301032 in words is "one hundred twenty-six million, three hundred one thousand, thirty-two".