120314144310 has 128 divisors (see below), whose sum is σ = 299086387200. Its totient is φ = 30951714816.

The previous prime is 120314144267. The next prime is 120314144341. The reversal of 120314144310 is 13441413021.

It is a super-2 number, since 2×120314144310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77973399 + ... + 77974941.

It is an arithmetic number, because the mean of its divisors is an integer number (2336612400).

Almost surely, 2^120314144310 is an apocalyptic number.

120314144310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120314144310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149543193600).

120314144310 is an abundant number, since it is smaller than the sum of its proper divisors (178772242890).

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

120314144310 is a wasteful number, since it uses less digits than its factorization.

120314144310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120314144310 its reverse (13441413021), we get a palindrome (133755557331).

The spelling of 120314144310 in words is "one hundred twenty billion, three hundred fourteen million, one hundred forty-four thousand, three hundred ten".