111213021321000 has 384 divisors, whose sum is σ = 390039579689760. Its totient is φ = 28557785088000.

The previous prime is 111213021320993. The next prime is 111213021321013. The reversal of 111213021321000 is 123120312111.

111213021321000 is a `hidden beast` number, since 1 + 112 + 130 + 213 + 210 + 0 + 0 = 666.

111213021321000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3574844807076 + 107638176513924 = 1890726^2 + 10374882^2 .

It is a super-2 number, since 2×111213021321000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30579490 + ... + 34022510.

Almost surely, 2^{111213021321000} is an apocalyptic number.

111213021321000 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 111213021321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195019789844880).

111213021321000 is an abundant number, since it is smaller than the sum of its proper divisors (278826558368760).

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

111213021321000 is a wasteful number, since it uses less digits than its factorization.

111213021321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443182 (or 3443165 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111213021321000 its reverse (123120312111), we get a palindrome (111336141633111).

The spelling of 111213021321000 in words is "one hundred eleven trillion, two hundred thirteen billion, twenty-one million, three hundred twenty-one thousand".