121980768 has 96 divisors (see below), whose sum is σ = 394119936. Its totient is φ = 32168448.

The previous prime is 121980767. The next prime is 121980791. The reversal of 121980768 is 867089121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121980767) 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, 1755 + ... + 15717.

It is an arithmetic number, because the mean of its divisors is an integer number (4105416).

Almost surely, 2^121980768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197059968).

121980768 is an abundant number, since it is smaller than the sum of its proper divisors (272139168).

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

121980768 is a wasteful number, since it uses less digits than its factorization.

121980768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13996 (or 13988 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 121980768 is about 11044.4903911407. The cubic root of 121980768 is about 495.9415036807.

The spelling of 121980768 in words is "one hundred twenty-one million, nine hundred eighty thousand, seven hundred sixty-eight".