20011221312000 has 320 divisors, whose sum is σ = 66555090201600. Its totient is φ = 5334498508800.

The previous prime is 20011221311989. The next prime is 20011221312037. The reversal of 20011221312000 is 21312211002.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 616111761 + ... + 616144239.

It is an arithmetic number, because the mean of its divisors is an integer number (207984656880).

Almost surely, 2^{20011221312000} is an apocalyptic number.

20011221312000 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 20011221312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33277545100800).

20011221312000 is an abundant number, since it is smaller than the sum of its proper divisors (46543868889600).

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

20011221312000 is an equidigital number, since it uses as much as digits as its factorization.

20011221312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35724 (or 35698 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20011221312000 its reverse (21312211002), we get a palindrome (20032533523002).

The spelling of 20011221312000 in words is "twenty trillion, eleven billion, two hundred twenty-one million, three hundred twelve thousand".