12141193680 has 480 divisors, whose sum is σ = 52724625408. Its totient is φ = 2522534400.

The previous prime is 12141193651. The next prime is 12141193693. The reversal of 12141193680 is 8639114121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 1492825 + ... + 1500935.

Almost surely, 2^12141193680 is an apocalyptic number.

12141193680 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 12141193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26362312704).

12141193680 is an abundant number, since it is smaller than the sum of its proper divisors (40583431728).

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

12141193680 is a wasteful number, since it uses less digits than its factorization.

12141193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12141193680 in words is "twelve billion, one hundred forty-one million, one hundred ninety-three thousand, six hundred eighty".