29120144000 has 64 divisors (see below), whose sum is σ = 72399997800. Its totient is φ = 11648051200.

The previous prime is 29120143979. The next prime is 29120144023. The reversal of 29120144000 is 44102192.

It can be written as a sum of positive squares in 4 ways, for example, as 8894753344 + 20225390656 = 94312^2 + 142216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894005 + ... + 926004.

Almost surely, 2^29120144000 is an apocalyptic number.

29120144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29120144000 is an abundant number, since it is smaller than the sum of its proper divisors (43279853800).

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

29120144000 is an equidigital number, since it uses as much as digits as its factorization.

29120144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820038 (or 1820016 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 29120144000 its reverse (44102192), we get a palindrome (29164246192).

The spelling of 29120144000 in words is "twenty-nine billion, one hundred twenty million, one hundred forty-four thousand".