21114120 has 64 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 5600000.

The previous prime is 21114103. The next prime is 21114127. The reversal of 21114120 is 2141112.

It is a happy number.

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 = 21114096 and 21114105.

It is not an unprimeable number, because it can be changed into a prime (21114127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29770 + ... + 30470.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^21114120 is an apocalyptic number.

21114120 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 21114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

21114120 is an abundant number, since it is smaller than the sum of its proper divisors (42571320).

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

21114120 is a wasteful number, since it uses less digits than its factorization.

21114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 21114120 is about 4595.0103373115. The cubic root of 21114120 is about 276.3912744908.

Adding to 21114120 its reverse (2141112), we get a palindrome (23255232).

The spelling of 21114120 in words is "twenty-one million, one hundred fourteen thousand, one hundred twenty".