201431120 has 60 divisors (see below), whose sum is σ = 514797780. Its totient is φ = 73244160.

The previous prime is 201431117. The next prime is 201431137. The reversal of 201431120 is 21134102.

201431120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61340224 + 140090896 = 7832^2 + 11836^2 .

It is a super-2 number, since 2×201431120² = 81148992208908800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201431095 and 201431104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 725 + ... + 20084.

It is an arithmetic number, because the mean of its divisors is an integer number (8579963).

Almost surely, 2^201431120 is an apocalyptic number.

201431120 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 201431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257398890).

201431120 is an abundant number, since it is smaller than the sum of its proper divisors (313366660).

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

201431120 is a wasteful number, since it uses less digits than its factorization.

201431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20844 (or 20827 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 201431120 is about 14192.6431646822. The cubic root of 201431120 is about 586.1951071757.

Adding to 201431120 its reverse (21134102), we get a palindrome (222565222).

The spelling of 201431120 in words is "two hundred one million, four hundred thirty-one thousand, one hundred twenty".