1101111212120 has 64 divisors (see below), whose sum is σ = 2568888483840. Its totient is φ = 424325116800.

The previous prime is 1101111212087. The next prime is 1101111212207. The reversal of 1101111212120 is 212121111011.

It is a junction number, because it is equal to n+sod(n) for n = 1101111212095 and 1101111212104.

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 15 ways as a sum of consecutive naturals, for example, 1714496 + ... + 2267535.

It is an arithmetic number, because the mean of its divisors is an integer number (40138882560).

Almost surely, 2^{1101111212120} is an apocalyptic number.

1101111212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101111212120 is an abundant number, since it is smaller than the sum of its proper divisors (1467777271720).

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

1101111212120 is a wasteful number, since it uses less digits than its factorization.

1101111212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982296 (or 3982292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1101111212120 its reverse (212121111011), we get a palindrome (1313232323131).

It can be divided in two parts, 110111 and 1212120, that added together give a palindrome (1322231).

The spelling of 1101111212120 in words is "one trillion, one hundred one billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".