1353120200 has 48 divisors (see below), whose sum is σ = 3166116180. Its totient is φ = 537788160.

The previous prime is 1353120191. The next prime is 1353120203. The reversal of 1353120200 is 20213531.

It can be written as a sum of positive squares in 6 ways, for example, as 243297604 + 1109822596 = 15598^2 + 33314^2 .

It is not an unprimeable number, because it can be changed into a prime (1353120203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9854 + ... + 52946.

Almost surely, 2^1353120200 is an apocalyptic number.

1353120200 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 1353120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583058090).

1353120200 is an abundant number, since it is smaller than the sum of its proper divisors (1812995980).

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

1353120200 is a wasteful number, since it uses less digits than its factorization.

1353120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43266 (or 43257 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1353120200 is about 36784.7821795916. The cubic root of 1353120200 is about 1106.0602696311.

Adding to 1353120200 its reverse (20213531), we get a palindrome (1373333731).

The spelling of 1353120200 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, two hundred".