120010134400 has 192 divisors, whose sum is σ = 319685788800. Its totient is φ = 44253388800.

The previous prime is 120010134389. The next prime is 120010134403. The reversal of 120010134400 is 4431010021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010134403) 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, 44136241 + ... + 44138959.

It is an arithmetic number, because the mean of its divisors is an integer number (1665030150).

Almost surely, 2^120010134400 is an apocalyptic number.

120010134400 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 120010134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159842894400).

120010134400 is an abundant number, since it is smaller than the sum of its proper divisors (199675654400).

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

120010134400 is a wasteful number, since it uses less digits than its factorization.

120010134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120010134400 its reverse (4431010021), we get a palindrome (124441144421).

The spelling of 120010134400 in words is "one hundred twenty billion, ten million, one hundred thirty-four thousand, four hundred".