120114134324044 has 144 divisors (see below), whose sum is σ = 255506258359296. Its totient is φ = 49205257315200.

The previous prime is 120114134324039. The next prime is 120114134324089. The reversal of 120114134324044 is 440423431411021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365683442 + ... + 2365734214.

It is an arithmetic number, because the mean of its divisors is an integer number (1774349016384).

Almost surely, 2^{120114134324044} is an apocalyptic number.

120114134324044 is a gapful number since it is divisible by the number (14) 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 120114134324044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127753129179648).

120114134324044 is an abundant number, since it is smaller than the sum of its proper divisors (135392124035252).

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

120114134324044 is a wasteful number, since it uses less digits than its factorization.

120114134324044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55596 (or 55587 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 120114134324044 its reverse (440423431411021), we get a palindrome (560537565735065).

The spelling of 120114134324044 in words is "one hundred twenty trillion, one hundred fourteen billion, one hundred thirty-four million, three hundred twenty-four thousand, forty-four".