1201723200 has 252 divisors, whose sum is σ = 4523376780. Its totient is φ = 301547520.

The previous prime is 1201723169. The next prime is 1201723207. The reversal of 1201723200 is 23271021.

It can be written as a sum of positive squares in 6 ways, for example, as 145733184 + 1055990016 = 12072^2 + 32496^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201723207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242346 + ... + 247254.

Almost surely, 2^1201723200 is an apocalyptic number.

1201723200 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 1201723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261688390).

1201723200 is an abundant number, since it is smaller than the sum of its proper divisors (3321653580).

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

1201723200 is a wasteful number, since it uses less digits than its factorization.

1201723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4936 counting only the distinct ones).

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

The square root of 1201723200 is about 34665.8794782420. The cubic root of 1201723200 is about 1063.1669851336.

Adding to 1201723200 its reverse (23271021), we get a palindrome (1224994221).

The spelling of 1201723200 in words is "one billion, two hundred one million, seven hundred twenty-three thousand, two hundred".