9016029120 has 224 divisors, whose sum is σ = 32772096000. Its totient is φ = 2057232384.

The previous prime is 9016029103. The next prime is 9016029149. The reversal of 9016029120 is 219206109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7048641 + ... + 7049919.

It is an arithmetic number, because the mean of its divisors is an integer number (146304000).

Almost surely, 2^9016029120 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 9016029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386048000).

9016029120 is an abundant number, since it is smaller than the sum of its proper divisors (23756066880).

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

9016029120 is a wasteful number, since it uses less digits than its factorization.

9016029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 9016029120 is about 94952.7731032643. The cubic root of 9016029120 is about 2081.3179763349.

The spelling of 9016029120 in words is "nine billion, sixteen million, twenty-nine thousand, one hundred twenty".