12141581379200 has 1152 divisors, whose sum is σ = 38367840551040. Its totient is φ = 3715006464000.

The previous prime is 12141581379197. The next prime is 12141581379203. The reversal of 12141581379200 is 297318514121.

It is an interprime number because it is at equal distance from previous prime (12141581379197) and next prime (12141581379203).

It is not an unprimeable number, because it can be changed into a prime (12141581379203) 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 143 ways as a sum of consecutive naturals, for example, 21263714915 + ... + 21263715485.

It is an arithmetic number, because the mean of its divisors is an integer number (33305417145).

Almost surely, 2^{12141581379200} is an apocalyptic number.

12141581379200 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 12141581379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19183920275520).

12141581379200 is an abundant number, since it is smaller than the sum of its proper divisors (26226259171840).

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

12141581379200 is a wasteful number, since it uses less digits than its factorization.

12141581379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 12141581379200 in words is "twelve trillion, one hundred forty-one billion, five hundred eighty-one million, three hundred seventy-nine thousand, two hundred".