12029878224000 has 1536 divisors, whose sum is σ = 54471373931520. Its totient is φ = 2476154880000.

The previous prime is 12029878223981. The next prime is 12029878224017. The reversal of 12029878224000 is 42287892021.

It is a happy number.

12029878224000 is a `hidden beast` number, since 120 + 29 + 87 + 8 + 22 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 537252805 + ... + 537275195.

It is an arithmetic number, because the mean of its divisors is an integer number (35463134070).

Almost surely, 2^{12029878224000} is an apocalyptic number.

12029878224000 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 12029878224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27235686965760).

12029878224000 is an abundant number, since it is smaller than the sum of its proper divisors (42441495707520).

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

12029878224000 is a wasteful number, since it uses less digits than its factorization.

12029878224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22487 (or 22462 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12029878224000 in words is "twelve trillion, twenty-nine billion, eight hundred seventy-eight million, two hundred twenty-four thousand".