13812120 has 288 divisors, whose sum is σ = 56019600. Its totient is φ = 3048192.

The previous prime is 13812101. The next prime is 13812157. The reversal of 13812120 is 2121831.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13812093 and 13812102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476266 + ... + 476294.

Almost surely, 2^13812120 is an apocalyptic number.

13812120 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 13812120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009800).

13812120 is an abundant number, since it is smaller than the sum of its proper divisors (42207480).

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

13812120 is a wasteful number, since it uses less digits than its factorization.

13812120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13812120 is about 3716.4660633457. The cubic root of 13812120 is about 239.9312302966.

Adding to 13812120 its reverse (2121831), we get a palindrome (15933951).

The spelling of 13812120 in words is "thirteen million, eight hundred twelve thousand, one hundred twenty".