126244414200 has 96 divisors (see below), whose sum is σ = 391834742400. Its totient is φ = 33624140160.

The previous prime is 126244414199. The next prime is 126244414213. The reversal of 126244414200 is 2414442621.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 365971 + ... + 621629.

It is an arithmetic number, because the mean of its divisors is an integer number (4081611900).

Almost surely, 2^126244414200 is an apocalyptic number.

126244414200 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 126244414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195917371200).

126244414200 is an abundant number, since it is smaller than the sum of its proper divisors (265590328200).

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

126244414200 is a wasteful number, since it uses less digits than its factorization.

126244414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256501 (or 256492 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 126244414200 its reverse (2414442621), we get a palindrome (128658856821).

The spelling of 126244414200 in words is "one hundred twenty-six billion, two hundred forty-four million, four hundred fourteen thousand, two hundred".