13229120 has 28 divisors (see below), whose sum is σ = 31502604. Its totient is φ = 5291520.

The previous prime is 13229119. The next prime is 13229129. The reversal of 13229120 is 2192231.

It can be written as a sum of positive squares in 2 ways, for example, as 3444736 + 9784384 = 1856^2 + 3128^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13229092 and 13229101.

It is not an unprimeable number, because it can be changed into a prime (13229129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20351 + ... + 20990.

It is an arithmetic number, because the mean of its divisors is an integer number (1125093).

Almost surely, 2^13229120 is an apocalyptic number.

13229120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13229120 is an abundant number, since it is smaller than the sum of its proper divisors (18273484).

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

13229120 is an equidigital number, since it uses as much as digits as its factorization.

13229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41358 (or 41348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13229120 is about 3637.1857252552. The cubic root of 13229120 is about 236.5068108714.

The spelling of 13229120 in words is "thirteen million, two hundred twenty-nine thousand, one hundred twenty".