12083284840 has 128 divisors (see below), whose sum is σ = 31332873600. Its totient is φ = 4147614720.

The previous prime is 12083284831. The next prime is 12083284841. The reversal of 12083284840 is 4848238021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12083284793 and 12083284802.

It is not an unprimeable number, because it can be changed into a prime (12083284841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2447014 + ... + 2451946.

It is an arithmetic number, because the mean of its divisors is an integer number (244788075).

Almost surely, 2^12083284840 is an apocalyptic number.

12083284840 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 12083284840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666436800).

12083284840 is an abundant number, since it is smaller than the sum of its proper divisors (19249588760).

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

12083284840 is a wasteful number, since it uses less digits than its factorization.

12083284840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 12083284840 in words is "twelve billion, eighty-three million, two hundred eighty-four thousand, eight hundred forty".