12161141280 has 384 divisors, whose sum is σ = 44590694400. Its totient is φ = 3091737600.

The previous prime is 12161141261. The next prime is 12161141281. The reversal of 12161141280 is 8214116121.

It is a happy number.

12161141280 is a `hidden beast` number, since 1 + 2 + 1 + 611 + 41 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12161141281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9507681 + ... + 9508959.

It is an arithmetic number, because the mean of its divisors is an integer number (116121600).

Almost surely, 2^12161141280 is an apocalyptic number.

12161141280 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 12161141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22295347200).

12161141280 is an abundant number, since it is smaller than the sum of its proper divisors (32429553120).

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

12161141280 is a wasteful number, since it uses less digits than its factorization.

12161141280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 12161141280 in words is "twelve billion, one hundred sixty-one million, one hundred forty-one thousand, two hundred eighty".