121181760 has 168 divisors, whose sum is σ = 476438976. Its totient is φ = 27694080.

The previous prime is 121181737. The next prime is 121181857. The reversal of 121181760 is 67181121.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 17155 + ... + 23165.

Almost surely, 2^121181760 is an apocalyptic number.

121181760 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 121181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238219488).

121181760 is an abundant number, since it is smaller than the sum of its proper divisors (355257216).

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

121181760 is a wasteful number, since it uses less digits than its factorization.

121181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 121181760 is about 11008.2587178899. The cubic root of 121181760 is about 494.8562790589.

The spelling of 121181760 in words is "one hundred twenty-one million, one hundred eighty-one thousand, seven hundred sixty".