121968000 has 576 divisors, whose sum is σ = 550236960. Its totient is φ = 25344000.

The previous prime is 121967987. The next prime is 121968001. The reversal of 121968000 is 869121.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121968001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11087995 + ... + 11088005.

Almost surely, 2^121968000 is an apocalyptic number.

121968000 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 121968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275118480).

121968000 is an abundant number, since it is smaller than the sum of its proper divisors (428268960).

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

121968000 is a wasteful number, since it uses less digits than its factorization.

121968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 121968000 is about 11043.9123502498. The cubic root of 121968000 is about 495.9241993079.

The spelling of 121968000 in words is "one hundred twenty-one million, nine hundred sixty-eight thousand".