114534342120 has 256 divisors, whose sum is σ = 386545582080. Its totient is φ = 26904960000.

The previous prime is 114534342101. The next prime is 114534342151. The reversal of 114534342120 is 21243435411.

114534342120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114534342120² (a number of 23 digits) contains 22 as substring.

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

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, 12254169 + ... + 12263511.

It is an arithmetic number, because the mean of its divisors is an integer number (1509943680).

Almost surely, 2^114534342120 is an apocalyptic number.

114534342120 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 114534342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193272791040).

114534342120 is an abundant number, since it is smaller than the sum of its proper divisors (272011239960).

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

114534342120 is a wasteful number, since it uses less digits than its factorization.

114534342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114534342120 its reverse (21243435411), we get a palindrome (135777777531).

It can be divided in two parts, 114534 and 342120, that added together give a palindrome (456654).

The spelling of 114534342120 in words is "one hundred fourteen billion, five hundred thirty-four million, three hundred forty-two thousand, one hundred twenty".