120120011000000 has 784 divisors, whose sum is σ = 345124432350720. Its totient is φ = 40995072000000.

The previous prime is 120120010999997. The next prime is 120120011000053. The reversal of 120120011000000 is 110021021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 91068999341 + ... + 91069000659.

Almost surely, 2^{120120011000000} is an apocalyptic number.

120120011000000 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 120120011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172562216175360).

120120011000000 is an abundant number, since it is smaller than the sum of its proper divisors (225004421350720).

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

120120011000000 is an equidigital number, since it uses as much as digits as its factorization.

120120011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120120011000000 its reverse (110021021), we get a palindrome (120120121021021).

The spelling of 120120011000000 in words is "one hundred twenty trillion, one hundred twenty billion, eleven million", and thus it is an aban number.