114224121005521 has 16 divisors (see below), whose sum is σ = 117692951610960. Its totient is φ = 110806939422720.

The previous prime is 114224121005503. The next prime is 114224121005567. The reversal of 114224121005521 is 125500121422411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1699018399296 + 112525102606225 = 1303464^2 + 10607785^2 .

It is a cyclic number.

It is not a de Polignac number, because 114224121005521 - 2²⁷ = 114223986787793 is a prime.

It is a super-2 number, since 2×114224121005521² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114224121005591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88997271 + ... + 90271603.

It is an arithmetic number, because the mean of its divisors is an integer number (7355809475685).

Almost surely, 2^{114224121005521} is an apocalyptic number.

It is an amenable number.

114224121005521 is a deficient number, since it is larger than the sum of its proper divisors (3468830605439).

114224121005521 is a wasteful number, since it uses less digits than its factorization.

114224121005521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294596.

The product of its (nonzero) digits is 6400, while the sum is 31.

Adding to 114224121005521 its reverse (125500121422411), we get a palindrome (239724242427932).

The spelling of 114224121005521 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred twenty-one million, five thousand, five hundred twenty-one".