123210000 has 225 divisors, whose sum is σ = 442843401. Its totient is φ = 31968000.

The previous prime is 123209987. The next prime is 123210019. The reversal of 123210000 is 12321.

It is a happy number.

The square root of 123210000 is 11100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 40908816 + 82301184 = 6396^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3329982 + ... + 3330018.

Almost surely, 2^123210000 is an apocalyptic number.

123210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123210000 is the 11100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123210000

123210000 is an abundant number, since it is smaller than the sum of its proper divisors (319633401).

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

123210000 is an equidigital number, since it uses as much as digits as its factorization.

123210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 123210000 is about 497.6018494708.

Adding to 123210000 its reverse (12321), we get a palindrome (123222321).

Multiplying 123210000 by its reverse (12321), we get a 4-th power (1518070410000 = 1110⁴).

123210000 divided by its reverse (12321) gives a 4-th power (10000 = 10⁴).

The spelling of 123210000 in words is "one hundred twenty-three million, two hundred ten thousand".