120850368768 has 288 divisors, whose sum is σ = 364064198400. Its totient is φ = 39536640000.

The previous prime is 120850368703. The next prime is 120850368781. The reversal of 120850368768 is 867863058021.

120850368768 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 503 + 68 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92889718 + ... + 92891018.

It is an arithmetic number, because the mean of its divisors is an integer number (1264111800).

Almost surely, 2^120850368768 is an apocalyptic number.

120850368768 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 120850368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182032099200).

120850368768 is an abundant number, since it is smaller than the sum of its proper divisors (243213829632).

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

120850368768 is a wasteful number, since it uses less digits than its factorization.

120850368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 120850368768 in words is "one hundred twenty billion, eight hundred fifty million, three hundred sixty-eight thousand, seven hundred sixty-eight".