9198213120 has 768 divisors, whose sum is σ = 36796032000. Its totient is φ = 2165833728.

The previous prime is 9198213109. The next prime is 9198213131. The reversal of 9198213120 is 213128919.

It is an interprime number because it is at equal distance from previous prime (9198213109) and next prime (9198213131).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89302989 + ... + 89303091.

It is an arithmetic number, because the mean of its divisors is an integer number (47911500).

Almost surely, 2^9198213120 is an apocalyptic number.

9198213120 is a gapful number since it is divisible by the number (90) 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 9198213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016000).

9198213120 is an abundant number, since it is smaller than the sum of its proper divisors (27597818880).

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

9198213120 is a wasteful number, since it uses less digits than its factorization.

9198213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 9198213120 is about 95907.3152580136. The cubic root of 9198213120 is about 2095.2434384647.

The spelling of 9198213120 in words is "nine billion, one hundred ninety-eight million, two hundred thirteen thousand, one hundred twenty".