20111131221000 has 256 divisors, whose sum is σ = 62890695129600. Its totient is φ = 5350677120000.

The previous prime is 20111131220993. The next prime is 20111131221023. The reversal of 20111131221000 is 12213111102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3269567925 + ... + 3269574075.

It is an arithmetic number, because the mean of its divisors is an integer number (245666777850).

Almost surely, 2^{20111131221000} is an apocalyptic number.

20111131221000 is a gapful number since it is divisible by the number (20) 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 20111131221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31445347564800).

20111131221000 is an abundant number, since it is smaller than the sum of its proper divisors (42779563908600).

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

20111131221000 is a wasteful number, since it uses less digits than its factorization.

20111131221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 20111131221000 its reverse (12213111102), we get a palindrome (20123344332102).

The spelling of 20111131221000 in words is "twenty trillion, one hundred eleven billion, one hundred thirty-one million, two hundred twenty-one thousand".