121111120 has 80 divisors (see below), whose sum is σ = 306511632. Its totient is φ = 44236800.

The previous prime is 121111103. The next prime is 121111121. The reversal of 121111120 is 21111121.

It can be written as a sum of positive squares in 8 ways, for example, as 3952144 + 117158976 = 1988^2 + 10824^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 121111097 and 121111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104464 + ... + 105616.

Almost surely, 2^121111120 is an apocalyptic number.

121111120 is a gapful number since it is divisible by the number (10) 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 121111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153255816).

121111120 is an abundant number, since it is smaller than the sum of its proper divisors (185400512).

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

121111120 is a wasteful number, since it uses less digits than its factorization.

121111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 121111120 is about 11005.0497500011. The cubic root of 121111120 is about 494.7601055035.

Adding to 121111120 its reverse (21111121), we get a palindrome (142222241).

Subtracting from 121111120 its reverse (21111121), we obtain a palindrome (99999999).

It can be divided in two parts, 12111 and 1120, that added together give a palindrome (13231).

The spelling of 121111120 in words is "one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".