201123720 has 96 divisors (see below), whose sum is σ = 747040320. Its totient is φ = 45970560.

The previous prime is 201123701. The next prime is 201123731. The reversal of 201123720 is 27321102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201123693 and 201123702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37386 + ... + 42425.

It is an arithmetic number, because the mean of its divisors is an integer number (7781670).

Almost surely, 2^201123720 is an apocalyptic number.

201123720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201123720 is an abundant number, since it is smaller than the sum of its proper divisors (545916600).

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

201123720 is a wasteful number, since it uses less digits than its factorization.

201123720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79835 (or 79828 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 201123720 is about 14181.8094755218. The cubic root of 201123720 is about 585.8967618183.

Adding to 201123720 its reverse (27321102), we get a palindrome (228444822).

It can be divided in two parts, 20112 and 3720, that added together give a palindrome (23832).

The spelling of 201123720 in words is "two hundred one million, one hundred twenty-three thousand, seven hundred twenty".