120141766080 has 1568 divisors, whose sum is σ = 527703897600. Its totient is φ = 25458499584.

The previous prime is 120141766061. The next prime is 120141766099. The reversal of 120141766080 is 80667141021.

It is a happy number.

120141766080 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 41 + 7 + 6 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120141766061) and next prime (120141766099).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2036301091 + ... + 2036301149.

Almost surely, 2^120141766080 is an apocalyptic number.

120141766080 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 120141766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263851948800).

120141766080 is an abundant number, since it is smaller than the sum of its proper divisors (407562131520).

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

120141766080 is an equidigital number, since it uses as much as digits as its factorization.

120141766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 120141766080 in words is "one hundred twenty billion, one hundred forty-one million, seven hundred sixty-six thousand, eighty".