29013120 has 256 divisors, whose sum is σ = 108691200. Its totient is φ = 7299072.

The previous prime is 29013119. The next prime is 29013121. The reversal of 29013120 is 2131092.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29013119) and next prime (29013121).

It is a super-2 number, since 2×29013120² = 1683522264268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 29013093 and 29013102.

It is not an unprimeable number, because it can be changed into a prime (29013121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 397404 + ... + 397476.

It is an arithmetic number, because the mean of its divisors is an integer number (424575).

Almost surely, 2^29013120 is an apocalyptic number.

29013120 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 29013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54345600).

29013120 is an abundant number, since it is smaller than the sum of its proper divisors (79678080).

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

29013120 is a wasteful number, since it uses less digits than its factorization.

29013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 29013120 is about 5386.3828308058. The cubic root of 29013120 is about 307.2780075336.

The spelling of 29013120 in words is "twenty-nine million, thirteen thousand, one hundred twenty".