213021120 has 224 divisors, whose sum is σ = 739932480. Its totient is φ = 51916800.

The previous prime is 213021079. The next prime is 213021157. The reversal of 213021120 is 21120312.

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 = 213021096 and 213021105.

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, 2109070 + ... + 2109170.

It is an arithmetic number, because the mean of its divisors is an integer number (3303270).

Almost surely, 2^213021120 is an apocalyptic number.

213021120 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 213021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369966240).

213021120 is an abundant number, since it is smaller than the sum of its proper divisors (526911360).

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

213021120 is a wasteful number, since it uses less digits than its factorization.

213021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

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

The square root of 213021120 is about 14595.2430606688. The cubic root of 213021120 is about 597.2290000777.

Adding to 213021120 its reverse (21120312), we get a palindrome (234141432).

It can be divided in two parts, 21302 and 1120, that added together give a palindrome (22422).

The spelling of 213021120 in words is "two hundred thirteen million, twenty-one thousand, one hundred twenty".