20111220001000 has 128 divisors (see below), whose sum is σ = 48587669544960. Its totient is φ = 7786481472000.

The previous prime is 20111220000997. The next prime is 20111220001001. The reversal of 20111220001000 is 10002211102.

It is a super-2 number, since 2×20111220001000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20111220001001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3275829 + ... + 7138171.

It is an arithmetic number, because the mean of its divisors is an integer number (379591168320).

Almost surely, 2^{20111220001000} is an apocalyptic number.

20111220001000 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 20111220001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24293834772480).

20111220001000 is an abundant number, since it is smaller than the sum of its proper divisors (28476449543960).

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

20111220001000 is a wasteful number, since it uses less digits than its factorization.

20111220001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862532 (or 3862518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20111220001000 its reverse (10002211102), we get a palindrome (20121222212102).

The spelling of 20111220001000 in words is "twenty trillion, one hundred eleven billion, two hundred twenty million, one thousand".