1141013323200 has 336 divisors, whose sum is σ = 3999334363520. Its totient is φ = 283952148480.

The previous prime is 1141013323193. The next prime is 1141013323201. The reversal of 1141013323200 is 23233101411.

It is a super-2 number, since 2×1141013323200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141013323201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6017034 + ... + 6203766.

Almost surely, 2^{1141013323200} is an apocalyptic number.

1141013323200 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 1141013323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999667181760).

1141013323200 is an abundant number, since it is smaller than the sum of its proper divisors (2858321040320).

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

1141013323200 is a wasteful number, since it uses less digits than its factorization.

1141013323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186844 (or 186829 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1141013323200 its reverse (23233101411), we get a palindrome (1164246424611).

The spelling of 1141013323200 in words is "one trillion, one hundred forty-one billion, thirteen million, three hundred twenty-three thousand, two hundred".