120542340014400 has 672 divisors, whose sum is σ = 425175114372480. Its totient is φ = 29789426810880.

The previous prime is 120542340014389. The next prime is 120542340014401. The reversal of 120542340014400 is 4410043245021.

It is a super-2 number, since 2×120542340014400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120542340014401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22705278946 + ... + 22705284254.

Almost surely, 2^{120542340014400} is an apocalyptic number.

120542340014400 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 120542340014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212587557186240).

120542340014400 is an abundant number, since it is smaller than the sum of its proper divisors (304632774358080).

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

120542340014400 is a wasteful number, since it uses less digits than its factorization.

120542340014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 120542340014400 its reverse (4410043245021), we get a palindrome (124952383259421).

The spelling of 120542340014400 in words is "one hundred twenty trillion, five hundred forty-two billion, three hundred forty million, fourteen thousand, four hundred".