111001001012000 has 768 divisors, whose sum is σ = 326493343088640. Its totient is φ = 36638784000000.

The previous prime is 111001001011991. The next prime is 111001001012003. The reversal of 111001001012000 is 210100100111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (111001001012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2617494797 + ... + 2617537203.

It is an arithmetic number, because the mean of its divisors is an integer number (425121540480).

Almost surely, 2^{111001001012000} is an apocalyptic number.

111001001012000 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 111001001012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163246671544320).

111001001012000 is an abundant number, since it is smaller than the sum of its proper divisors (215492342076640).

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

111001001012000 is a wasteful number, since it uses less digits than its factorization.

111001001012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42594 (or 42576 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 111001001012000 its reverse (210100100111), we get a palindrome (111211101112111).

The spelling of 111001001012000 in words is "one hundred eleven trillion, one billion, one million, twelve thousand".