20011221001120 has 96 divisors (see below), whose sum is σ = 47743391824128. Its totient is φ = 7925465253888.

The previous prime is 20011221001111. The next prime is 20011221001141. The reversal of 20011221001120 is 2110012211002.

It is a super-2 number, since 2×20011221001120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20011221001120.

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 15 ways as a sum of consecutive naturals, for example, 102853372 + ... + 103047748.

It is an arithmetic number, because the mean of its divisors is an integer number (497326998168).

Almost surely, 2^{20011221001120} is an apocalyptic number.

20011221001120 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 20011221001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23871695912064).

20011221001120 is an abundant number, since it is smaller than the sum of its proper divisors (27732170823008).

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

20011221001120 is a wasteful number, since it uses less digits than its factorization.

20011221001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200742 (or 200734 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20011221001120 its reverse (2110012211002), we get a palindrome (22121233212122).

The spelling of 20011221001120 in words is "twenty trillion, eleven billion, two hundred twenty-one million, one thousand, one hundred twenty".