120434212140000 has 960 divisors, whose sum is σ = 456685260337152. Its totient is φ = 27456307200000.

The previous prime is 120434212139833. The next prime is 120434212140001. The reversal of 120434212140000 is 41212434021.

120434212140000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (120434212140001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16504616352 + ... + 16504623648.

Almost surely, 2^{120434212140000} is an apocalyptic number.

120434212140000 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 120434212140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228342630168576).

120434212140000 is an abundant number, since it is smaller than the sum of its proper divisors (336251048197152).

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

120434212140000 is a wasteful number, since it uses less digits than its factorization.

120434212140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8829 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120434212140000 its reverse (41212434021), we get a palindrome (120475424574021).

The spelling of 120434212140000 in words is "one hundred twenty trillion, four hundred thirty-four billion, two hundred twelve million, one hundred forty thousand".