12124183680 has 1152 divisors, whose sum is σ = 53076703680. Its totient is φ = 2633637888.

The previous prime is 12124183679. The next prime is 12124183681. The reversal of 12124183680 is 8638142121.

It is an interprime number because it is at equal distance from previous prime (12124183679) and next prime (12124183681).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124183681) 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 143 ways as a sum of consecutive naturals, for example, 281957739 + ... + 281957781.

Almost surely, 2^12124183680 is an apocalyptic number.

12124183680 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 12124183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26538351840).

12124183680 is an abundant number, since it is smaller than the sum of its proper divisors (40952520000).

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

12124183680 is an equidigital number, since it uses as much as digits as its factorization.

12124183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12124183680 in words is "twelve billion, one hundred twenty-four million, one hundred eighty-three thousand, six hundred eighty".