121111920 has 60 divisors (see below), whose sum is σ = 406736616. Its totient is φ = 32296320.

The previous prime is 121111919. The next prime is 121111967. The reversal of 121111920 is 29111121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121111893 and 121111902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83386 + ... + 84825.

Almost surely, 2^121111920 is an apocalyptic number.

121111920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121111920 is an abundant number, since it is smaller than the sum of its proper divisors (285624696).

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

121111920 is a wasteful number, since it uses less digits than its factorization.

121111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168230 (or 168221 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 121111920 is about 11005.0860968917. The cubic root of 121111920 is about 494.7611948811.

It can be divided in two parts, 1211 and 11920, that added together give a palindrome (13131).

The spelling of 121111920 in words is "one hundred twenty-one million, one hundred eleven thousand, nine hundred twenty".