120140302144400 has 120 divisors (see below), whose sum is σ = 289150711857504. Its totient is φ = 47970637004800.

The previous prime is 120140302144399. The next prime is 120140302144433. The reversal of 120140302144400 is 4441203041021.

It is a self number, because there is not a number n which added to its sum of digits gives 120140302144400.

It is an unprimeable number.

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, 1227337859 + ... + 1227435741.

Almost surely, 2^{120140302144400} is an apocalyptic number.

120140302144400 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 120140302144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144575355928752).

120140302144400 is an abundant number, since it is smaller than the sum of its proper divisors (169010409713104).

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

120140302144400 is a wasteful number, since it uses less digits than its factorization.

120140302144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103329 (or 103318 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 120140302144400 its reverse (4441203041021), we get a palindrome (124581505185421).

The spelling of 120140302144400 in words is "one hundred twenty trillion, one hundred forty billion, three hundred two million, one hundred forty-four thousand, four hundred".