120954717328896 has 720 divisors, whose sum is σ = 405372351384000. Its totient is φ = 34425676431360.

The previous prime is 120954717328891. The next prime is 120954717328919. The reversal of 120954717328896 is 698823717459021.

120954717328896 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 5 + 471 + 73 + 2 + 8 + 89 + 6 = 666.

It is a super-2 number, since 2×120954717328896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120954717328891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7309758895 + ... + 7309775441.

It is an arithmetic number, because the mean of its divisors is an integer number (563017154700).

It is a 1-persistent number, because it is pandigital, but 2⋅120954717328896 = 241909434657792 is not.

Almost surely, 2^{120954717328896} is an apocalyptic number.

120954717328896 is a gapful number since it is divisible by the number (16) 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 120954717328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202686175692000).

120954717328896 is an abundant number, since it is smaller than the sum of its proper divisors (284417634055104).

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

120954717328896 is a wasteful number, since it uses less digits than its factorization.

120954717328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17115 (or 17079 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 120954717328896 in words is "one hundred twenty trillion, nine hundred fifty-four billion, seven hundred seventeen million, three hundred twenty-eight thousand, eight hundred ninety-six".