120120011100 has 180 divisors, whose sum is σ = 393164755984. Its totient is φ = 31720792320.

The previous prime is 120120011041. The next prime is 120120011149. The reversal of 120120011100 is 1110021021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 762312 + ... + 906288.

Almost surely, 2^120120011100 is an apocalyptic number.

120120011100 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 120120011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196582377992).

120120011100 is an abundant number, since it is smaller than the sum of its proper divisors (273044744884).

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

120120011100 is a wasteful number, since it uses less digits than its factorization.

120120011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144106 (or 144090 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120120011100 its reverse (1110021021), we get a palindrome (121230032121).

It can be divided in two parts, 1201 and 20011100, that added together give a triangular number (20012301 = T₆₃₂₆).

The spelling of 120120011100 in words is "one hundred twenty billion, one hundred twenty million, eleven thousand, one hundred".