12211112001000 has 384 divisors, whose sum is σ = 42502165130880. Its totient is φ = 2916080640000.

The previous prime is 12211112000993. The next prime is 12211112001037. The reversal of 12211112001000 is 10021111221.

It is a super-2 number, since 2×12211112001000² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 24069960 + ... + 24572040.

It is an arithmetic number, because the mean of its divisors is an integer number (110682721695).

Almost surely, 2^{12211112001000} is an apocalyptic number.

12211112001000 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 12211112001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251082565440).

12211112001000 is an abundant number, since it is smaller than the sum of its proper divisors (30291053129880).

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

12211112001000 is a wasteful number, since it uses less digits than its factorization.

12211112001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502194 (or 502169 counting only the distinct ones).

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

Adding to 12211112001000 its reverse (10021111221), we get a palindrome (12221133112221).

The spelling of 12211112001000 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, one thousand".