12141502200 has 432 divisors, whose sum is σ = 43805165040. Its totient is φ = 3011712000.

The previous prime is 12141502171. The next prime is 12141502201. The reversal of 12141502200 is 220514121.

12141502200 is a `hidden beast` number, since 1 + 2 + 141 + 502 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141502201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 39040045 + ... + 39040355.

It is an arithmetic number, because the mean of its divisors is an integer number (101400845).

Almost surely, 2^12141502200 is an apocalyptic number.

12141502200 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 12141502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902582520).

12141502200 is an abundant number, since it is smaller than the sum of its proper divisors (31663662840).

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

12141502200 is a wasteful number, since it uses less digits than its factorization.

12141502200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 12141502200 in words is "twelve billion, one hundred forty-one million, five hundred two thousand, two hundred".