126225400 has 96 divisors (see below), whose sum is σ = 347076000. Its totient is φ = 41771520.

The previous prime is 126225353. The next prime is 126225413. The reversal of 126225400 is 4522621.

It is a super-3 number, since 3×126225400³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39046 + ... + 42154.

It is an arithmetic number, because the mean of its divisors is an integer number (3615375).

Almost surely, 2^126225400 is an apocalyptic number.

126225400 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 126225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173538000).

126225400 is an abundant number, since it is smaller than the sum of its proper divisors (220850600).

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

126225400 is a wasteful number, since it uses less digits than its factorization.

126225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 126225400 is about 11235.0077881593. The cubic root of 126225400 is about 501.6285565150.

It can be divided in two parts, 1262 and 25400, that added together give a palindrome (26662).

The spelling of 126225400 in words is "one hundred twenty-six million, two hundred twenty-five thousand, four hundred".