120522332254400 has 336 divisors, whose sum is σ = 309980532163680. Its totient is φ = 46078709760000.

The previous prime is 120522332254393. The next prime is 120522332254409. The reversal of 120522332254400 is 4452233225021.

It is not an unprimeable number, because it can be changed into a prime (120522332254409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084666046 + ... + 1084777154.

It is an arithmetic number, because the mean of its divisors is an integer number (922561107630).

Almost surely, 2^{120522332254400} is an apocalyptic number.

120522332254400 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 120522332254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990266081840).

120522332254400 is an abundant number, since it is smaller than the sum of its proper divisors (189458199909280).

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

120522332254400 is a wasteful number, since it uses less digits than its factorization.

120522332254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111492 (or 111477 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 120522332254400 its reverse (4452233225021), we get a palindrome (124974565479421).

The spelling of 120522332254400 in words is "one hundred twenty trillion, five hundred twenty-two billion, three hundred thirty-two million, two hundred fifty-four thousand, four hundred".