120011195809008 has 480 divisors, whose sum is σ = 394576225505280. Its totient is φ = 33340090613760.

The previous prime is 120011195809007. The next prime is 120011195809051. The reversal of 120011195809008 is 800908591110021.

It is a super-2 number, since 2×120011195809008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011195809007) 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, 21274805868 + ... + 21274811508.

It is an arithmetic number, because the mean of its divisors is an integer number (822033803136).

Almost surely, 2^{120011195809008} is an apocalyptic number.

120011195809008 is a gapful number since it is divisible by the number (18) 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 120011195809008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197288112752640).

120011195809008 is an abundant number, since it is smaller than the sum of its proper divisors (274565029696272).

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

120011195809008 is a wasteful number, since it uses less digits than its factorization.

120011195809008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 45.

The spelling of 120011195809008 in words is "one hundred twenty trillion, eleven billion, one hundred ninety-five million, eight hundred nine thousand, eight".