120305134100 has 108 divisors (see below), whose sum is σ = 270902221044. Its totient is φ = 46372085760.

The previous prime is 120305134067. The next prime is 120305134127. The reversal of 120305134100 is 1431503021.

It can be written as a sum of positive squares in 18 ways, for example, as 76842057616 + 43463076484 = 277204^2 + 208478^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56934644 + ... + 56936756.

Almost surely, 2^120305134100 is an apocalyptic number.

120305134100 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 120305134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135451110522).

120305134100 is an abundant number, since it is smaller than the sum of its proper divisors (150597086944).

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

120305134100 is a wasteful number, since it uses less digits than its factorization.

120305134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 120305134100 its reverse (1431503021), we get a palindrome (121736637121).

The spelling of 120305134100 in words is "one hundred twenty billion, three hundred five million, one hundred thirty-four thousand, one hundred".