1144123033300 has 216 divisors, whose sum is σ = 2878383224808. Its totient is φ = 391049625600.

The previous prime is 1144123033289. The next prime is 1144123033331. The reversal of 1144123033300 is 33303214411.

It can be written as a sum of positive squares in 36 ways, for example, as 1025921842884 + 118201190416 = 1012878^2 + 343804^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82227144 + ... + 82241056.

It is an arithmetic number, because the mean of its divisors is an integer number (13325848263).

Almost surely, 2^{1144123033300} is an apocalyptic number.

1144123033300 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 1144123033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439191612404).

1144123033300 is an abundant number, since it is smaller than the sum of its proper divisors (1734260191508).

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

1144123033300 is a wasteful number, since it uses less digits than its factorization.

1144123033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14079 (or 14011 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1144123033300 its reverse (33303214411), we get a palindrome (1177426247711).

The spelling of 1144123033300 in words is "one trillion, one hundred forty-four billion, one hundred twenty-three million, thirty-three thousand, three hundred".