12029835840 has 224 divisors, whose sum is σ = 41872204800. Its totient is φ = 2901964800.

The previous prime is 12029835821. The next prime is 12029835841. The reversal of 12029835840 is 4853892021.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12029835792 and 12029835801.

It is not an unprimeable number, because it can be changed into a prime (12029835841) 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 31 ways as a sum of consecutive naturals, for example, 2225461 + ... + 2230859.

Almost surely, 2^12029835840 is an apocalyptic number.

12029835840 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 12029835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936102400).

12029835840 is an abundant number, since it is smaller than the sum of its proper divisors (29842368960).

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

12029835840 is a wasteful number, since it uses less digits than its factorization.

12029835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5631 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 12029835840 in words is "twelve billion, twenty-nine million, eight hundred thirty-five thousand, eight hundred forty".