111201021312000 has 1408 divisors, whose sum is σ = 386985013309440. Its totient is φ = 28320399360000.

The previous prime is 111201021311983. The next prime is 111201021312023. The reversal of 111201021312000 is 213120102111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 285863807806 + ... + 285863808194.

Almost surely, 2^{111201021312000} is an apocalyptic number.

111201021312000 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 111201021312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193492506654720).

111201021312000 is an abundant number, since it is smaller than the sum of its proper divisors (275783991997440).

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

111201021312000 is a wasteful number, since it uses less digits than its factorization.

111201021312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 111201021312000 its reverse (213120102111), we get a palindrome (111414141414111).

The spelling of 111201021312000 in words is "one hundred eleven trillion, two hundred one billion, twenty-one million, three hundred twelve thousand".