114012430552020 has 864 divisors, whose sum is σ = 461762592238080. Its totient is φ = 20717524638720.

The previous prime is 114012430551973. The next prime is 114012430552061. The reversal of 114012430552020 is 20255034210411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 103294779 + ... + 104392701.

It is an arithmetic number, because the mean of its divisors is an integer number (534447444720).

Almost surely, 2^{114012430552020} is an apocalyptic number.

114012430552020 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 114012430552020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230881296119040).

114012430552020 is an abundant number, since it is smaller than the sum of its proper divisors (347750161686060).

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

114012430552020 is a wasteful number, since it uses less digits than its factorization.

114012430552020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098005 (or 1097983 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 114012430552020 its reverse (20255034210411), we get a palindrome (134267464762431).

The spelling of 114012430552020 in words is "one hundred fourteen trillion, twelve billion, four hundred thirty million, five hundred fifty-two thousand, twenty".