1211241353200 has 120 divisors (see below), whose sum is σ = 2934299871360. Its totient is φ = 480457286400.

The previous prime is 1211241353191. The next prime is 1211241353263. The reversal of 1211241353200 is 23531421121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 81684187 + ... + 81699013.

It is an arithmetic number, because the mean of its divisors is an integer number (24452498928).

Almost surely, 2^{1211241353200} is an apocalyptic number.

1211241353200 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 1211241353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467149935680).

1211241353200 is an abundant number, since it is smaller than the sum of its proper divisors (1723058518160).

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

1211241353200 is a wasteful number, since it uses less digits than its factorization.

1211241353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16535 (or 16524 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1211241353200 its reverse (23531421121), we get a palindrome (1234772774321).

The spelling of 1211241353200 in words is "one trillion, two hundred eleven billion, two hundred forty-one million, three hundred fifty-three thousand, two hundred".