126212000 has 96 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 49900800.

The previous prime is 126211997. The next prime is 126212071. The reversal of 126212000 is 212621.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555887 + ... + 556113.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^126212000 is an apocalyptic number.

126212000 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 126212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

126212000 is an abundant number, since it is smaller than the sum of its proper divisors (187497760).

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

126212000 is a wasteful number, since it uses less digits than its factorization.

126212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 126212000 is about 11234.4114220550. The cubic root of 126212000 is about 501.6108050415.

Adding to 126212000 its reverse (212621), we get a palindrome (126424621).

The spelling of 126212000 in words is "one hundred twenty-six million, two hundred twelve thousand".