29727022112 has 54 divisors (see below), whose sum is σ = 60670497069. Its totient is φ = 14337321600.

The previous prime is 29727022081. The next prime is 29727022121. The reversal of 29727022112 is 21122072792.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 29709348496 + 17673616 = 172364^2 + 4204^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=121916.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 28283987 + ... + 28285037.

Almost surely, 2^29727022112 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 29727022112

29727022112 is an abundant number, since it is smaller than the sum of its proper divisors (30943474957).

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

29727022112 is an frugal number, since it uses more digits than its factorization.

29727022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

Multiplying 29727022112 by its product of nonzero digits (14112), we get a square (419507736044544 = 20481888²).

The spelling of 29727022112 in words is "twenty-nine billion, seven hundred twenty-seven million, twenty-two thousand, one hundred twelve".