111141144213000 has 1536 divisors, whose sum is σ = 397855680768000. Its totient is φ = 25794472704000.

The previous prime is 111141144212957. The next prime is 111141144213017. The reversal of 111141144213000 is 312441141111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 383 ways as a sum of consecutive naturals, for example, 203183078727 + ... + 203183079273.

It is an arithmetic number, because the mean of its divisors is an integer number (259020625500).

Almost surely, 2^{111141144213000} is an apocalyptic number.

111141144213000 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 111141144213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198927840384000).

111141144213000 is an abundant number, since it is smaller than the sum of its proper divisors (286714536555000).

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

111141144213000 is a wasteful number, since it uses less digits than its factorization.

111141144213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 111141144213000 its reverse (312441141111), we get a palindrome (111453585354111).

The spelling of 111141144213000 in words is "one hundred eleven trillion, one hundred forty-one billion, one hundred forty-four million, two hundred thirteen thousand".