111122221233000 has 256 divisors, whose sum is σ = 368958988569600. Its totient is φ = 27747925094400.

The previous prime is 111122221232993. The next prime is 111122221233007. The reversal of 111122221233000 is 332122221111.

It is an interprime number because it is at equal distance from previous prime (111122221232993) and next prime (111122221233007).

It is not an unprimeable number, because it can be changed into a prime (111122221233007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4516881 + ... + 15577119.

It is an arithmetic number, because the mean of its divisors is an integer number (1441246049100).

Almost surely, 2^{111122221233000} is an apocalyptic number.

111122221233000 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 111122221233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184479494284800).

111122221233000 is an abundant number, since it is smaller than the sum of its proper divisors (257836767336600).

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

111122221233000 is a wasteful number, since it uses less digits than its factorization.

111122221233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11060477 (or 11060463 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 111122221233000 its reverse (332122221111), we get a palindrome (111454343454111).

The spelling of 111122221233000 in words is "one hundred eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred thirty-three thousand".