2120011101120 has 224 divisors, whose sum is σ = 7774886290176. Its totient is φ = 483710156800.

The previous prime is 2120011101073. The next prime is 2120011101133. The reversal of 2120011101120 is 211011100212.

It is a super-3 number, since 3×2120011101120³ (a number of 38 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 = 2120011101096 and 2120011101105.

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, 5725146 + ... + 6084185.

Almost surely, 2^{2120011101120} is an apocalyptic number.

2120011101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120011101120 is an abundant number, since it is smaller than the sum of its proper divisors (5654875189056).

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

2120011101120 is a wasteful number, since it uses less digits than its factorization.

2120011101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809379 (or 11809369 counting only the distinct ones).

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

Adding to 2120011101120 its reverse (211011100212), we get a palindrome (2331022201332).

The spelling of 2120011101120 in words is "two trillion, one hundred twenty billion, eleven million, one hundred one thousand, one hundred twenty".