1200221120 has 112 divisors (see below), whose sum is σ = 3292815360. Its totient is φ = 408167424.

The previous prime is 1200221111. The next prime is 1200221137. The reversal of 1200221120 is 211220021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 282371 + ... + 286589.

Almost surely, 2^1200221120 is an apocalyptic number.

1200221120 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 1200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646407680).

1200221120 is an abundant number, since it is smaller than the sum of its proper divisors (2092594240).

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

1200221120 is a wasteful number, since it uses less digits than its factorization.

1200221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1200221120 is about 34644.2075966532. The cubic root of 1200221120 is about 1062.7238360247.

Adding to 1200221120 its reverse (211220021), we get a palindrome (1411441141).

The spelling of 1200221120 in words is "one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".