12140820480 has 192 divisors, whose sum is σ = 40532244480. Its totient is φ = 3096608768.

The previous prime is 12140820479. The next prime is 12140820481. The reversal of 12140820480 is 8402804121.

It is an interprime number because it is at equal distance from previous prime (12140820479) and next prime (12140820481).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140820481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697969 + ... + 715151.

It is an arithmetic number, because the mean of its divisors is an integer number (211105440).

Almost surely, 2^12140820480 is an apocalyptic number.

12140820480 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 12140820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20266122240).

12140820480 is an abundant number, since it is smaller than the sum of its proper divisors (28391424000).

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

12140820480 is a wasteful number, since it uses less digits than its factorization.

12140820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17236 (or 17216 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 12140820480 in words is "twelve billion, one hundred forty million, eight hundred twenty thousand, four hundred eighty".