12141248280 has 384 divisors, whose sum is σ = 44147980800. Its totient is φ = 2616109056.

The previous prime is 12141248267. The next prime is 12141248281. The reversal of 12141248280 is 8284214121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141248281) 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 95 ways as a sum of consecutive naturals, for example, 39547887 + ... + 39548193.

It is an arithmetic number, because the mean of its divisors is an integer number (114968700).

Almost surely, 2^12141248280 is an apocalyptic number.

12141248280 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 12141248280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22073990400).

12141248280 is an abundant number, since it is smaller than the sum of its proper divisors (32006732520).

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

12141248280 is a wasteful number, since it uses less digits than its factorization.

12141248280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 12141248280 in words is "twelve billion, one hundred forty-one million, two hundred forty-eight thousand, two hundred eighty".