120011020128 has 36 divisors (see below), whose sum is σ = 341281339308. Its totient is φ = 40003673280.

The previous prime is 120011020127. The next prime is 120011020193. The reversal of 120011020128 is 821020110021.

120011020128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×120011020128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 120011020128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011020127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208352178 + ... + 208352753.

It is an arithmetic number, because the mean of its divisors is an integer number (9480037203).

Almost surely, 2^120011020128 is an apocalyptic number.

120011020128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120011020128 is an abundant number, since it is smaller than the sum of its proper divisors (221270319180).

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

120011020128 is a wasteful number, since it uses less digits than its factorization.

120011020128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416704947 (or 416704936 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120011020128 its reverse (821020110021), we get a palindrome (941031130149).

The spelling of 120011020128 in words is "one hundred twenty billion, eleven million, twenty thousand, one hundred twenty-eight".