120950921952 has 192 divisors, whose sum is σ = 408849638400. Its totient is φ = 34070561280.

The previous prime is 120950921941. The next prime is 120950922013. The reversal of 120950921952 is 259129059021.

120950921952 is a `hidden beast` number, since 120 + 9 + 509 + 2 + 19 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120950921898 and 120950921907.

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 31 ways as a sum of consecutive naturals, for example, 288574 + ... + 570242.

It is an arithmetic number, because the mean of its divisors is an integer number (2129425200).

Almost surely, 2^120950921952 is an apocalyptic number.

120950921952 is a gapful number since it is divisible by the number (12) 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 120950921952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204424819200).

120950921952 is an abundant number, since it is smaller than the sum of its proper divisors (287898716448).

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

120950921952 is a wasteful number, since it uses less digits than its factorization.

120950921952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281766 (or 281752 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 120950921952 in words is "one hundred twenty billion, nine hundred fifty million, nine hundred twenty-one thousand, nine hundred fifty-two".