1101111120120 has 192 divisors, whose sum is σ = 3828085660800. Its totient is φ = 251233822720.

The previous prime is 1101111120107. The next prime is 1101111120127. The reversal of 1101111120120 is 210211111011.

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 = 1101111120096 and 1101111120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111120127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061730 + ... + 1824689.

It is an arithmetic number, because the mean of its divisors is an integer number (19937946150).

Almost surely, 2^{1101111120120} is an apocalyptic number.

1101111120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101111120120 is an abundant number, since it is smaller than the sum of its proper divisors (2726974540680).

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

1101111120120 is a wasteful number, since it uses less digits than its factorization.

1101111120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886478 (or 2886457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101111120120 its reverse (210211111011), we get a palindrome (1311322231131).

The spelling of 1101111120120 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred twenty thousand, one hundred twenty".