20112001101120 has 224 divisors, whose sum is σ = 65446259028480. Its totient is φ = 5230005258240.

The previous prime is 20112001101113. The next prime is 20112001101131. The reversal of 20112001101120 is 2110110021102.

It is a super-3 number, since 3×20112001101120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20112001101096 and 20112001101105.

It is a congruent number.

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, 25158775 + ... + 25945865.

Almost surely, 2^{20112001101120} is an apocalyptic number.

20112001101120 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 20112001101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32723129514240).

20112001101120 is an abundant number, since it is smaller than the sum of its proper divisors (45334257927360).

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

20112001101120 is a wasteful number, since it uses less digits than its factorization.

20112001101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787773 (or 787763 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20112001101120 its reverse (2110110021102), we get a palindrome (22222111122222).

The spelling of 20112001101120 in words is "twenty trillion, one hundred twelve billion, one million, one hundred one thousand, one hundred twenty".