120011100 has 144 divisors (see below), whose sum is σ = 388475136. Its totient is φ = 28352000.

The previous prime is 120011057. The next prime is 120011119. The reversal of 120011100 is 1110021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134857 + ... + 135743.

It is an arithmetic number, because the mean of its divisors is an integer number (2697744).

Almost surely, 2^120011100 is an apocalyptic number.

120011100 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 120011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194237568).

120011100 is an abundant number, since it is smaller than the sum of its proper divisors (268464036).

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

120011100 is a wasteful number, since it uses less digits than its factorization.

120011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 120011100 is about 10954.9577817534. The cubic root of 120011100 is about 493.2576227050.

Adding to 120011100 its reverse (1110021), we get a palindrome (121121121).

The spelling of 120011100 in words is "one hundred twenty million, eleven thousand, one hundred".