120252434100 has 144 divisors (see below), whose sum is σ = 363261749760. Its totient is φ = 30655856000.

The previous prime is 120252434089. The next prime is 120252434131. The reversal of 120252434100 is 1434252021.

It is a congruent number.

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, 16135375 + ... + 16142825.

It is an arithmetic number, because the mean of its divisors is an integer number (2522651040).

Almost surely, 2^120252434100 is an apocalyptic number.

120252434100 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 120252434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181630874880).

120252434100 is an abundant number, since it is smaller than the sum of its proper divisors (243009315660).

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

120252434100 is a wasteful number, since it uses less digits than its factorization.

120252434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9830 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 120252434100 its reverse (1434252021), we get a palindrome (121686686121).

The spelling of 120252434100 in words is "one hundred twenty billion, two hundred fifty-two million, four hundred thirty-four thousand, one hundred".