126210000 has 200 divisors, whose sum is σ = 466400704. Its totient is φ = 28800000.

The previous prime is 126209999. The next prime is 126210041. The reversal of 126210000 is 12621.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209700 + ... + 210300.

Almost surely, 2^126210000 is an apocalyptic number.

126210000 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 126210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233200352).

126210000 is an abundant number, since it is smaller than the sum of its proper divisors (340190704).

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

126210000 is an equidigital number, since it uses as much as digits as its factorization.

126210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 126210000 is about 11234.3224094736. The cubic root of 126210000 is about 501.6081554601.

Adding to 126210000 its reverse (12621), we get a palindrome (126222621).

Multiplying 126210000 by its reverse (12621), we get a square (1592896410000 = 1262100²).

126210000 divided by its reverse (12621) gives a 4-th power (10000 = 10⁴).

The spelling of 126210000 in words is "one hundred twenty-six million, two hundred ten thousand".