114421202124411 has 32 divisors (see below), whose sum is σ = 187770452907520. Its totient is φ = 60353292927744.

The previous prime is 114421202124373. The next prime is 114421202124419.

It is a happy number.

114421202124411 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-114421202124411 is a prime.

It is a super-3 number, since 3×114421202124411³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (114421202124419) 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, 19833096 + ... + 24943818.

It is an arithmetic number, because the mean of its divisors is an integer number (5867826653360).

Almost surely, 2^{114421202124411} is an apocalyptic number.

114421202124411 is a deficient number, since it is larger than the sum of its proper divisors (73349250783109).

114421202124411 is a wasteful number, since it uses less digits than its factorization.

114421202124411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192755.

The product of its (nonzero) digits is 4096, while the sum is 30.

It can be divided in two parts, 11442120 and 2124411, that added together give a palindrome (13566531).

The spelling of 114421202124411 in words is "one hundred fourteen trillion, four hundred twenty-one billion, two hundred two million, one hundred twenty-four thousand, four hundred eleven".