1144333121100 has 216 divisors, whose sum is σ = 3599539739712. Its totient is φ = 280556640000.

The previous prime is 1144333121083. The next prime is 1144333121101. The reversal of 1144333121100 is 11213334411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1144333121101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12680739 + ... + 12770661.

It is an arithmetic number, because the mean of its divisors is an integer number (16664535832).

Almost surely, 2^{1144333121100} is an apocalyptic number.

1144333121100 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 1144333121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799769869856).

1144333121100 is an abundant number, since it is smaller than the sum of its proper divisors (2455206618612).

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

1144333121100 is a wasteful number, since it uses less digits than its factorization.

1144333121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90217 (or 90197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1144333121100 its reverse (11213334411), we get a palindrome (1155546455511).

The spelling of 1144333121100 in words is "one trillion, one hundred forty-four billion, three hundred thirty-three million, one hundred twenty-one thousand, one hundred".