126310000 has 100 divisors (see below), whose sum is σ = 324233712. Its totient is φ = 47488000.

The previous prime is 126309961. The next prime is 126310001. The reversal of 126310000 is 13621.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×126310000² = 31908432200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126310001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169629 + ... + 170371.

Almost surely, 2^126310000 is an apocalyptic number.

126310000 is a gapful number since it is divisible by the number (10) 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 126310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162116856).

126310000 is an abundant number, since it is smaller than the sum of its proper divisors (197923712).

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

126310000 is an equidigital number, since it uses as much as digits as its factorization.

126310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 126310000 is about 11238.7721749309. The cubic root of 126310000 is about 501.7406002569.

Adding to 126310000 its reverse (13621), we get a palindrome (126323621).

The spelling of 126310000 in words is "one hundred twenty-six million, three hundred ten thousand".