120055142400 has 576 divisors, whose sum is σ = 438721920000. Its totient is φ = 28807004160.

The previous prime is 120055142359. The next prime is 120055142407. The reversal of 120055142400 is 4241550021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120055142407) 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, 60056601 + ... + 60058599.

It is an arithmetic number, because the mean of its divisors is an integer number (761670000).

Almost surely, 2^120055142400 is an apocalyptic number.

120055142400 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 120055142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960000).

120055142400 is an abundant number, since it is smaller than the sum of its proper divisors (318666777600).

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

120055142400 is a wasteful number, since it uses less digits than its factorization.

120055142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 120055142400 its reverse (4241550021), we get a palindrome (124296692421).

The spelling of 120055142400 in words is "one hundred twenty billion, fifty-five million, one hundred forty-two thousand, four hundred".