120005376900 has 144 divisors (see below), whose sum is σ = 349667619840. Its totient is φ = 31775990400.

The previous prime is 120005376893. The next prime is 120005376913. The reversal of 120005376900 is 9673500021.

120005376900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120005376900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51926745 + ... + 51929055.

It is an arithmetic number, because the mean of its divisors is an integer number (2428247360).

Almost surely, 2^120005376900 is an apocalyptic number.

120005376900 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 120005376900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174833809920).

120005376900 is an abundant number, since it is smaller than the sum of its proper divisors (229662242940).

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

120005376900 is a wasteful number, since it uses less digits than its factorization.

120005376900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

Adding to 120005376900 its reverse (9673500021), we get a palindrome (129678876921).

The spelling of 120005376900 in words is "one hundred twenty billion, five million, three hundred seventy-six thousand, nine hundred".