120523072600 has 96 divisors (see below), whose sum is σ = 320416679520. Its totient is φ = 41300305920.

The previous prime is 120523072597. The next prime is 120523072601. The reversal of 120523072600 is 6270325021.

It is a super-2 number, since 2×120523072600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120523072601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2740384 + ... + 2784016.

It is an arithmetic number, because the mean of its divisors is an integer number (3337673745).

Almost surely, 2^120523072600 is an apocalyptic number.

120523072600 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 120523072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160208339760).

120523072600 is an abundant number, since it is smaller than the sum of its proper divisors (199893606920).

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

120523072600 is a wasteful number, since it uses less digits than its factorization.

120523072600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45629 (or 45620 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 120523072600 its reverse (6270325021), we get a palindrome (126793397621).

The spelling of 120523072600 in words is "one hundred twenty billion, five hundred twenty-three million, seventy-two thousand, six hundred".