126212600 has 48 divisors (see below), whose sum is σ = 295814400. Its totient is φ = 50077440.

The previous prime is 126212579. The next prime is 126212621. The reversal of 126212600 is 6212621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126212579) and next prime (126212621).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22916 + ... + 27884.

It is an arithmetic number, because the mean of its divisors is an integer number (6162800).

Almost surely, 2^126212600 is an apocalyptic number.

126212600 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 126212600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147907200).

126212600 is an abundant number, since it is smaller than the sum of its proper divisors (169601800).

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

126212600 is a wasteful number, since it uses less digits than its factorization.

126212600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 126212600 is about 11234.4381256919. The cubic root of 126212600 is about 501.6115999105.

The spelling of 126212600 in words is "one hundred twenty-six million, two hundred twelve thousand, six hundred".