120871968000 has 1152 divisors, whose sum is σ = 484877352960. Its totient is φ = 26114457600.

The previous prime is 120871967987. The next prime is 120871968001. The reversal of 120871968000 is 869178021.

It is a super-2 number, since 2×120871968000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120871968001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1358111956 + ... + 1358112044.

It is an arithmetic number, because the mean of its divisors is an integer number (420900480).

Almost surely, 2^120871968000 is an apocalyptic number.

120871968000 is a gapful number since it is divisible by the number (10) 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 120871968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242438676480).

120871968000 is an abundant number, since it is smaller than the sum of its proper divisors (364005384960).

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

120871968000 is an equidigital number, since it uses as much as digits as its factorization.

120871968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 120871968000 in words is "one hundred twenty billion, eight hundred seventy-one million, nine hundred sixty-eight thousand".