114220014240020 has 96 divisors (see below), whose sum is σ = 273765629311776. Its totient is φ = 39655334707200.

The previous prime is 114220014239993. The next prime is 114220014240029. The reversal of 114220014240020 is 20042410022411.

It can be written as a sum of positive squares in 16 ways, for example, as 49473948547984 + 64746065692036 = 7033772^2 + 8046494^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114220014240029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7488341 + ... + 16867580.

It is an arithmetic number, because the mean of its divisors is an integer number (2851725305331).

Almost surely, 2^{114220014240020} is an apocalyptic number.

114220014240020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114220014240020 is an abundant number, since it is smaller than the sum of its proper divisors (159545615071756).

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

114220014240020 is a wasteful number, since it uses less digits than its factorization.

114220014240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24357021 (or 24357019 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 114220014240020 its reverse (20042410022411), we get a palindrome (134262424262431).

The spelling of 114220014240020 in words is "one hundred fourteen trillion, two hundred twenty billion, fourteen million, two hundred forty thousand, twenty".