12101111022000 has 960 divisors, whose sum is σ = 52779533893632. Its totient is φ = 2321079552000.

The previous prime is 12101111021933. The next prime is 12101111022017. The reversal of 12101111022000 is 22011110121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65974417 + ... + 66157583.

Almost surely, 2^{12101111022000} is an apocalyptic number.

12101111022000 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 12101111022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26389766946816).

12101111022000 is an abundant number, since it is smaller than the sum of its proper divisors (40678422871632).

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

12101111022000 is a wasteful number, since it uses less digits than its factorization.

12101111022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183235 (or 183208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101111022000 its reverse (22011110121), we get a palindrome (12123122132121).

The spelling of 12101111022000 in words is "twelve trillion, one hundred one billion, one hundred eleven million, twenty-two thousand".