213000120 has 96 divisors (see below), whose sum is σ = 711004320. Its totient is φ = 55261440.

The previous prime is 213000103. The next prime is 213000121. The reversal of 213000120 is 21000312.

It is a happy number.

It is a super-2 number, since 2×213000120² = 90738102240028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5325 + ... + 21315.

It is an arithmetic number, because the mean of its divisors is an integer number (7406295).

Almost surely, 2^213000120 is an apocalyptic number.

213000120 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 213000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355502160).

213000120 is an abundant number, since it is smaller than the sum of its proper divisors (498004200).

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

213000120 is a wasteful number, since it uses less digits than its factorization.

213000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16045 (or 16038 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 213000120 is about 14594.5236304581. The cubic root of 213000120 is about 597.2093741346.

Adding to 213000120 its reverse (21000312), we get a palindrome (234000432).

The spelling of 213000120 in words is "two hundred thirteen million, one hundred twenty", and thus it is an aban number.