1153314201200 has 120 divisors (see below), whose sum is σ = 3190845356160. Its totient is φ = 392403398400.

The previous prime is 1153314201197. The next prime is 1153314201203. The reversal of 1153314201200 is 21024133511.

It is an interprime number because it is at equal distance from previous prime (1153314201197) and next prime (1153314201203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153314201203) by changing a digit.

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, 1205330 + ... + 1938929.

It is an arithmetic number, because the mean of its divisors is an integer number (26590377968).

Almost surely, 2^{1153314201200} is an apocalyptic number.

1153314201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153314201200 is an abundant number, since it is smaller than the sum of its proper divisors (2037531154960).

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

1153314201200 is a wasteful number, since it uses less digits than its factorization.

1153314201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144415 (or 3144404 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 1153314201200 its reverse (21024133511), we get a palindrome (1174338334711).

The spelling of 1153314201200 in words is "one trillion, one hundred fifty-three billion, three hundred fourteen million, two hundred one thousand, two hundred".