120081287450880 has 864 divisors, whose sum is σ = 477077990538240. Its totient is φ = 27316956119040.

The previous prime is 120081287450779. The next prime is 120081287450881. The reversal of 120081287450880 is 88054782180021.

It is a happy number.

120081287450880 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 128 + 7 + 4 + 508 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (120081287450881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22159304811 + ... + 22159310229.

It is an arithmetic number, because the mean of its divisors is an integer number (552173600160).

Almost surely, 2^{120081287450880} is an apocalyptic number.

120081287450880 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 120081287450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238538995269120).

120081287450880 is an abundant number, since it is smaller than the sum of its proper divisors (356996703087360).

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

120081287450880 is a wasteful number, since it uses less digits than its factorization.

120081287450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 120081287450880 in words is "one hundred twenty trillion, eighty-one billion, two hundred eighty-seven million, four hundred fifty thousand, eight hundred eighty".