1253531441200 has 120 divisors (see below), whose sum is σ = 3191188732992. Its totient is φ = 471558696960.

The previous prime is 1253531441147. The next prime is 1253531441203. The reversal of 1253531441200 is 21441353521.

It is not an unprimeable number, because it can be changed into a prime (1253531441203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8954142 + ... + 9093058.

Almost surely, 2^{1253531441200} is an apocalyptic number.

1253531441200 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 1253531441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595594366496).

1253531441200 is an abundant number, since it is smaller than the sum of its proper divisors (1937657291792).

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

1253531441200 is a wasteful number, since it uses less digits than its factorization.

1253531441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140279 (or 140268 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 1253531441200 its reverse (21441353521), we get a palindrome (1274972794721).

The spelling of 1253531441200 in words is "one trillion, two hundred fifty-three billion, five hundred thirty-one million, four hundred forty-one thousand, two hundred".