13216029120 has 1344 divisors, whose sum is σ = 60043161600. Its totient is φ = 2717245440.

The previous prime is 13216029119. The next prime is 13216029121. The reversal of 13216029120 is 2192061231.

13216029120 is a `hidden beast` number, since 1 + 32 + 1 + 602 + 9 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13216029119) and next prime (13216029121).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13216029121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249359014 + ... + 249359066.

Almost surely, 2^13216029120 is an apocalyptic number.

13216029120 is a gapful number since it is divisible by the number (10) 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 13216029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30021580800).

13216029120 is an abundant number, since it is smaller than the sum of its proper divisors (46827132480).

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

13216029120 is a wasteful number, since it uses less digits than its factorization.

13216029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13216029120 in words is "thirteen billion, two hundred sixteen million, twenty-nine thousand, one hundred twenty".