1201724160 has 576 divisors, whose sum is σ = 4999787520. Its totient is φ = 238878720.

The previous prime is 1201724149. The next prime is 1201724201. The reversal of 1201724160 is 614271021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1201724160.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6639270 + ... + 6639450.

Almost surely, 2^1201724160 is an apocalyptic number.

1201724160 is a gapful number since it is divisible by the number (10) 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 1201724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499893760).

1201724160 is an abundant number, since it is smaller than the sum of its proper divisors (3798063360).

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

1201724160 is a wasteful number, since it uses less digits than its factorization.

1201724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1201724160 is about 34665.8933247075. The cubic root of 1201724160 is about 1063.1672682381.

Adding to 1201724160 its reverse (614271021), we get a palindrome (1815995181).

The spelling of 1201724160 in words is "one billion, two hundred one million, seven hundred twenty-four thousand, one hundred sixty".