12130067840 has 128 divisors (see below), whose sum is σ = 31932299520. Its totient is φ = 4369438720.

The previous prime is 12130067813. The next prime is 12130067867. The reversal of 12130067840 is 4876003121.

It is an interprime number because it is at equal distance from previous prime (12130067813) and next prime (12130067867).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12130067797 and 12130067806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745229 + ... + 761331.

It is an arithmetic number, because the mean of its divisors is an integer number (249471090).

Almost surely, 2^12130067840 is an apocalyptic number.

12130067840 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 12130067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966149760).

12130067840 is an abundant number, since it is smaller than the sum of its proper divisors (19802231680).

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

12130067840 is a wasteful number, since it uses less digits than its factorization.

12130067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16228 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 12130067840 in words is "twelve billion, one hundred thirty million, sixty-seven thousand, eight hundred forty".