219801120 has 384 divisors, whose sum is σ = 911554560. Its totient is φ = 43130880.

The previous prime is 219801103. The next prime is 219801157. The reversal of 219801120 is 21108912.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 702084 + ... + 702396.

It is an arithmetic number, because the mean of its divisors is an integer number (2373840).

Almost surely, 2^219801120 is an apocalyptic number.

219801120 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 219801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455777280).

219801120 is an abundant number, since it is smaller than the sum of its proper divisors (691753440).

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

219801120 is a wasteful number, since it uses less digits than its factorization.

219801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 219801120 is about 14825.6912149147. The cubic root of 219801120 is about 603.4991096067.

The spelling of 219801120 in words is "two hundred nineteen million, eight hundred one thousand, one hundred twenty".