29001157120 has 120 divisors (see below), whose sum is σ = 75296208636. Its totient is φ = 10707959808.

The previous prime is 29001157111. The next prime is 29001157153. The reversal of 29001157120 is 2175110092.

It can be written as a sum of positive squares in 6 ways, for example, as 3154176 + 28998002944 = 1776^2 + 170288^2 .

It is a super-2 number, since 2×29001157120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399124 + ... + 466156.

Almost surely, 2^29001157120 is an apocalyptic number.

29001157120 is a gapful number since it is divisible by the number (20) 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 29001157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37648104318).

29001157120 is an abundant number, since it is smaller than the sum of its proper divisors (46295051516).

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

29001157120 is an equidigital number, since it uses as much as digits as its factorization.

29001157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67082 (or 67053 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 29001157120 in words is "twenty-nine billion, one million, one hundred fifty-seven thousand, one hundred twenty".