201303120 has 80 divisors (see below), whose sum is σ = 660761280. Its totient is φ = 50522112.

The previous prime is 201303101. The next prime is 201303127. The reversal of 201303120 is 21303102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×201303120² = 81045892243468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201303096 and 201303105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201303127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20590 + ... + 28749.

It is an arithmetic number, because the mean of its divisors is an integer number (8259516).

Almost surely, 2^201303120 is an apocalyptic number.

201303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201303120 is an abundant number, since it is smaller than the sum of its proper divisors (459458160).

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

201303120 is a wasteful number, since it uses less digits than its factorization.

201303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49372 (or 49366 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 201303120 is about 14188.1330695761. The cubic root of 201303120 is about 586.0709143952.

Adding to 201303120 its reverse (21303102), we get a palindrome (222606222).

The spelling of 201303120 in words is "two hundred one million, three hundred three thousand, one hundred twenty".