207141120 has 108 divisors (see below), whose sum is σ = 716726556. Its totient is φ = 55234560.

The previous prime is 207141089. The next prime is 207141139. The reversal of 207141120 is 21141702.

It can be written as a sum of positive squares in 2 ways, for example, as 159365376 + 47775744 = 12624^2 + 6912^2 .

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 = 207141093 and 207141102.

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, 2530 + ... + 20510.

It is an arithmetic number, because the mean of its divisors is an integer number (6636357).

Almost surely, 2^207141120 is an apocalyptic number.

207141120 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 207141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358363278).

207141120 is an abundant number, since it is smaller than the sum of its proper divisors (509585436).

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

207141120 is a wasteful number, since it uses less digits than its factorization.

207141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18008 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 207141120 is about 14392.3979933853. The cubic root of 207141120 is about 591.6825666119.

Adding to 207141120 its reverse (21141702), we get a palindrome (228282822).

The spelling of 207141120 in words is "two hundred seven million, one hundred forty-one thousand, one hundred twenty".