213201120 has 192 divisors, whose sum is σ = 740275200. Its totient is φ = 51148800.

The previous prime is 213201103. The next prime is 213201137. The reversal of 213201120 is 21102312.

It is an interprime number because it is at equal distance from previous prime (213201103) and next prime (213201137).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213201096 and 213201105.

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, 786585 + ... + 786855.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^213201120 is an apocalyptic number.

213201120 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 213201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

213201120 is an abundant number, since it is smaller than the sum of its proper divisors (527074080).

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

213201120 is a wasteful number, since it uses less digits than its factorization.

213201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213201120 is about 14601.4081512709. The cubic root of 213201120 is about 597.3971695612.

Adding to 213201120 its reverse (21102312), we get a palindrome (234303432).

The spelling of 213201120 in words is "two hundred thirteen million, two hundred one thousand, one hundred twenty".