10111223322000 has 960 divisors, whose sum is σ = 36867259772928. Its totient is φ = 2580595200000.

The previous prime is 10111223321999. The next prime is 10111223322043. The reversal of 10111223322000 is 22332211101.

10111223322000 is a `hidden beast` number, since 1 + 0 + 11 + 122 + 332 + 200 + 0 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 12847805607 + ... + 12847806393.

Almost surely, 2^{10111223322000} is an apocalyptic number.

10111223322000 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 10111223322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433629886464).

10111223322000 is an abundant number, since it is smaller than the sum of its proper divisors (26756036450928).

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

10111223322000 is a wasteful number, since it uses less digits than its factorization.

10111223322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10111223322000 its reverse (22332211101), we get a palindrome (10133555533101).

The spelling of 10111223322000 in words is "ten trillion, one hundred eleven billion, two hundred twenty-three million, three hundred twenty-two thousand".