210801120 has 96 divisors (see below), whose sum is σ = 666029952. Its totient is φ = 56044032.

The previous prime is 210801091. The next prime is 210801127. The reversal of 210801120 is 21108012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×210801120² = 88874224386508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210801120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210801127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308299 + ... + 308981.

It is an arithmetic number, because the mean of its divisors is an integer number (6937812).

Almost surely, 2^210801120 is an apocalyptic number.

210801120 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 210801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333014976).

210801120 is an abundant number, since it is smaller than the sum of its proper divisors (455228832).

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

210801120 is a wasteful number, since it uses less digits than its factorization.

210801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 210801120 is about 14518.9917005280. The cubic root of 210801120 is about 595.1470766043.

Adding to 210801120 its reverse (21108012), we get a palindrome (231909132).

The spelling of 210801120 in words is "two hundred ten million, eight hundred one thousand, one hundred twenty".