20113321221120 has 176 divisors, whose sum is σ = 64522111219488. Its totient is φ = 5347635363840.

The previous prime is 20113321221061. The next prime is 20113321221173. The reversal of 20113321221120 is 2112212331102.

It is a super-2 number, since 2×20113321221120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3233500 + ... + 7119140.

Almost surely, 2^{20113321221120} is an apocalyptic number.

20113321221120 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 20113321221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32261055609744).

20113321221120 is an abundant number, since it is smaller than the sum of its proper divisors (44408789998368).

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

20113321221120 is a wasteful number, since it uses less digits than its factorization.

20113321221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886006 (or 3885988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20113321221120 its reverse (2112212331102), we get a palindrome (22225533552222).

The spelling of 20113321221120 in words is "twenty trillion, one hundred thirteen billion, three hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".