221412120 has 64 divisors (see below), whose sum is σ = 666973440. Its totient is φ = 58800000.

The previous prime is 221412119. The next prime is 221412133. The reversal of 221412120 is 21214122.

221412120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221412120.

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, 26445 + ... + 33795.

It is an arithmetic number, because the mean of its divisors is an integer number (10421460).

Almost surely, 2^221412120 is an apocalyptic number.

221412120 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 221412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333486720).

221412120 is an abundant number, since it is smaller than the sum of its proper divisors (445561320).

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

221412120 is a wasteful number, since it uses less digits than its factorization.

221412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 221412120 is about 14879.9233868995. The cubic root of 221412120 is about 604.9699413611.

Adding to 221412120 its reverse (21214122), we get a palindrome (242626242).

The spelling of 221412120 in words is "two hundred twenty-one million, four hundred twelve thousand, one hundred twenty".