12143744267200 has 1344 divisors, whose sum is σ = 38524254289920. Its totient is φ = 3666469847040.

The previous prime is 12143744267189. The next prime is 12143744267201. The reversal of 12143744267200 is 276244734121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143744267201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77348689522 + ... + 77348689678.

It is an arithmetic number, because the mean of its divisors is an integer number (28663879680).

Almost surely, 2^{12143744267200} is an apocalyptic number.

12143744267200 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 12143744267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262127144960).

12143744267200 is an abundant number, since it is smaller than the sum of its proper divisors (26380510022720).

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

12143744267200 is a wasteful number, since it uses less digits than its factorization.

12143744267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 12143744267200 in words is "twelve trillion, one hundred forty-three billion, seven hundred forty-four million, two hundred sixty-seven thousand, two hundred".