221077120 has 128 divisors (see below), whose sum is σ = 595745280. Its totient is φ = 77721600.

The previous prime is 221077117. The next prime is 221077139. The reversal of 221077120 is 21770122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221077091 and 221077100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217734 + ... + 218746.

It is an arithmetic number, because the mean of its divisors is an integer number (4654260).

Almost surely, 2^221077120 is an apocalyptic number.

221077120 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 221077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297872640).

221077120 is an abundant number, since it is smaller than the sum of its proper divisors (374668160).

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

221077120 is a wasteful number, since it uses less digits than its factorization.

221077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 221077120 is about 14868.6623473667. The cubic root of 221077120 is about 604.6646776925.

The spelling of 221077120 in words is "two hundred twenty-one million, seventy-seven thousand, one hundred twenty".