13212120 has 64 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3369344.

The previous prime is 13212109. The next prime is 13212131. The reversal of 13212120 is 2121231.

13212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13212109) and next prime (13212131).

It is a super-2 number, since 2×13212120² = 349120229788800, which contains 22 as substring.

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 = 13212096 and 13212105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367 + ... + 5153.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 2^13212120 is an apocalyptic number.

13212120 is a gapful number since it is divisible by the number (10) 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 13212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

13212120 is an abundant number, since it is smaller than the sum of its proper divisors (28156200).

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

13212120 is a wasteful number, since it uses less digits than its factorization.

13212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4820 counting only the distinct ones).

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

The square root of 13212120 is about 3634.8480023242. The cubic root of 13212120 is about 236.4054602339.

Adding to 13212120 its reverse (2121231), we get a palindrome (15333351).

The spelling of 13212120 in words is "thirteen million, two hundred twelve thousand, one hundred twenty".