120941952768 has 720 divisors, whose sum is σ = 448744665600. Its totient is φ = 31545925632.

The previous prime is 120941952737. The next prime is 120941952809. The reversal of 120941952768 is 867259149021.

It is a happy number.

120941952768 is a `hidden beast` number, since 1 + 20 + 94 + 1 + 9 + 527 + 6 + 8 = 666.

120941952768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 201906133 + ... + 201906731.

It is an arithmetic number, because the mean of its divisors is an integer number (623256480).

Almost surely, 2^120941952768 is an apocalyptic number.

120941952768 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 120941952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224372332800).

120941952768 is an abundant number, since it is smaller than the sum of its proper divisors (327802712832).

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

120941952768 is a wasteful number, since it uses less digits than its factorization.

120941952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 120941952768 in words is "one hundred twenty billion, nine hundred forty-one million, nine hundred fifty-two thousand, seven hundred sixty-eight".