121000968 has 288 divisors, whose sum is σ = 410810400. Its totient is φ = 31933440.

The previous prime is 121000937. The next prime is 121000973. The reversal of 121000968 is 869000121.

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 71 ways as a sum of consecutive naturals, for example, 2813955 + ... + 2813997.

It is an arithmetic number, because the mean of its divisors is an integer number (1426425).

Almost surely, 2^121000968 is an apocalyptic number.

121000968 is a gapful number since it is divisible by the number (18) 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 121000968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205405200).

121000968 is an abundant number, since it is smaller than the sum of its proper divisors (289809432).

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

121000968 is a wasteful number, since it uses less digits than its factorization.

121000968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

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

The square root of 121000968 is about 11000.0439999120. The cubic root of 121000968 is about 494.6100632780.

The spelling of 121000968 in words is "one hundred twenty-one million, nine hundred sixty-eight", and thus it is an aban number.