120034302252100 has 144 divisors (see below), whose sum is σ = 266250026938896. Its totient is φ = 46955151360000.

The previous prime is 120034302252091. The next prime is 120034302252121. The reversal of 120034302252100 is 1252203430021.

It can be written as a sum of positive squares in 24 ways, for example, as 9117513108484 + 110916789143616 = 3019522^2 + 10531704^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 2935018852 + ... + 2935059748.

It is an arithmetic number, because the mean of its divisors is an integer number (1848958520409).

Almost surely, 2^{120034302252100} is an apocalyptic number.

120034302252100 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 120034302252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133125013469448).

120034302252100 is an abundant number, since it is smaller than the sum of its proper divisors (146215724686796).

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

120034302252100 is a wasteful number, since it uses less digits than its factorization.

120034302252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42746 (or 42739 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 120034302252100 its reverse (1252203430021), we get a palindrome (121286505682121).

The spelling of 120034302252100 in words is "one hundred twenty trillion, thirty-four billion, three hundred two million, two hundred fifty-two thousand, one hundred".