1200201120 has 144 divisors (see below), whose sum is σ = 4311347040. Its totient is φ = 303201792.

The previous prime is 1200201113. The next prime is 1200201133. The reversal of 1200201120 is 211020021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5427 + ... + 49293.

It is an arithmetic number, because the mean of its divisors is an integer number (29939910).

Almost surely, 2^1200201120 is an apocalyptic number.

1200201120 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 1200201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155673520).

1200201120 is an abundant number, since it is smaller than the sum of its proper divisors (3111145920).

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

1200201120 is a wasteful number, since it uses less digits than its factorization.

1200201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43907 (or 43896 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1200201120 is about 34643.9189469090. The cubic root of 1200201120 is about 1062.7179330583.

Adding to 1200201120 its reverse (211020021), we get a palindrome (1411221141).

The spelling of 1200201120 in words is "one billion, two hundred million, two hundred one thousand, one hundred twenty".