12234142120200 has 576 divisors, whose sum is σ = 51830736995520. Its totient is φ = 2346607872000.

The previous prime is 12234142120181. The next prime is 12234142120219. The reversal of 12234142120200 is 202124143221.

It is an interprime number because it is at equal distance from previous prime (12234142120181) and next prime (12234142120219).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2749210 + ... + 5659190.

It is an arithmetic number, because the mean of its divisors is an integer number (89983918395).

Almost surely, 2^{12234142120200} is an apocalyptic number.

12234142120200 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 12234142120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25915368497760).

12234142120200 is an abundant number, since it is smaller than the sum of its proper divisors (39596594875320).

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

12234142120200 is a wasteful number, since it uses less digits than its factorization.

12234142120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910038 (or 2910022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12234142120200 its reverse (202124143221), we get a palindrome (12436266263421).

The spelling of 12234142120200 in words is "twelve trillion, two hundred thirty-four billion, one hundred forty-two million, one hundred twenty thousand, two hundred".