121944768 has 168 divisors, whose sum is σ = 368899440. Its totient is φ = 35481600.

The previous prime is 121944763. The next prime is 121944787. The reversal of 121944768 is 867449121.

It is not an unprimeable number, because it can be changed into a prime (121944763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673638 + ... + 673818.

It is an arithmetic number, because the mean of its divisors is an integer number (2195830).

Almost surely, 2^121944768 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 121944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184449720).

121944768 is an abundant number, since it is smaller than the sum of its proper divisors (246954672).

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

121944768 is a wasteful number, since it uses less digits than its factorization.

121944768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 121944768 is about 11042.8604989830. The cubic root of 121944768 is about 495.8927100577.

The spelling of 121944768 in words is "one hundred twenty-one million, nine hundred forty-four thousand, seven hundred sixty-eight".