12029589504 has 384 divisors, whose sum is σ = 38494310400. Its totient is φ = 3698196480.

The previous prime is 12029589497. The next prime is 12029589553. The reversal of 12029589504 is 40598592021.

It is a happy number.

12029589504 is a `hidden beast` number, since 12 + 0 + 2 + 9 + 589 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12029589504² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12029589504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62982049 + ... + 62982239.

It is an arithmetic number, because the mean of its divisors is an integer number (100245600).

Almost surely, 2^12029589504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12029589504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

12029589504 is an abundant number, since it is smaller than the sum of its proper divisors (26464720896).

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

12029589504 is a wasteful number, since it uses less digits than its factorization.

12029589504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12029589504 in words is "twelve billion, twenty-nine million, five hundred eighty-nine thousand, five hundred four".