201401120 has 48 divisors (see below), whose sum is σ = 476937720. Its totient is φ = 80369664.

The previous prime is 201401117. The next prime is 201401191. The reversal of 201401120 is 21104102.

It can be written as a sum of positive squares in 4 ways, for example, as 195888016 + 5513104 = 13996^2 + 2348^2 .

It is a super-2 number, since 2×201401120² = 81124822274508800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80204 + ... + 82676.

Almost surely, 2^201401120 is an apocalyptic number.

201401120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201401120 is an abundant number, since it is smaller than the sum of its proper divisors (275536600).

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

201401120 is a wasteful number, since it uses less digits than its factorization.

201401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2989 counting only the distinct ones).

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

The square root of 201401120 is about 14191.5862397408. The cubic root of 201401120 is about 586.1660042143.

Adding to 201401120 its reverse (21104102), we get a palindrome (222505222).

The spelling of 201401120 in words is "two hundred one million, four hundred one thousand, one hundred twenty".