221253120 has 400 divisors, whose sum is σ = 873412848. Its totient is φ = 53084160.

The previous prime is 221253089. The next prime is 221253121. The reversal of 221253120 is 21352122.

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 = 221253093 and 221253102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221253121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280912 + ... + 2281008.

Almost surely, 2^221253120 is an apocalyptic number.

221253120 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 221253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436706424).

221253120 is an abundant number, since it is smaller than the sum of its proper divisors (652159728).

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

221253120 is an equidigital number, since it uses as much as digits as its factorization.

221253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 221253120 is about 14874.5796579265. The cubic root of 221253120 is about 604.8250934411.

The spelling of 221253120 in words is "two hundred twenty-one million, two hundred fifty-three thousand, one hundred twenty".