126211400 has 96 divisors (see below), whose sum is σ = 355155840. Its totient is φ = 40719360.

The previous prime is 126211363. The next prime is 126211409. The reversal of 126211400 is 4112621.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (126211409) 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 23 ways as a sum of consecutive naturals, for example, 21149 + ... + 26451.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 2^126211400 is an apocalyptic number.

126211400 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 126211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177577920).

126211400 is an abundant number, since it is smaller than the sum of its proper divisors (228944440).

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

126211400 is a wasteful number, since it uses less digits than its factorization.

126211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 126211400 is about 11234.3847183546. The cubic root of 126211400 is about 501.6100101700.

The spelling of 126211400 in words is "one hundred twenty-six million, two hundred eleven thousand, four hundred".