114511211122230 has 320 divisors, whose sum is σ = 333998634816000. Its totient is φ = 27983099289600.

The previous prime is 114511211122219. The next prime is 114511211122289. The reversal of 114511211122230 is 32221112115411.

114511211122230 is a `hidden beast` number, since 1 + 1 + 4 + 511 + 2 + 1 + 1 + 122 + 23 + 0 = 666.

It is a super-2 number, since 2×114511211122230² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114511211122194 and 114511211122203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3061041766 + ... + 3061079174.

It is an arithmetic number, because the mean of its divisors is an integer number (1043745733800).

Almost surely, 2^{114511211122230} is an apocalyptic number.

114511211122230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114511211122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166999317408000).

114511211122230 is an abundant number, since it is smaller than the sum of its proper divisors (219487423693770).

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

114511211122230 is a wasteful number, since it uses less digits than its factorization.

114511211122230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39541 (or 39532 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 114511211122230 its reverse (32221112115411), we get a palindrome (146732323237641).

The spelling of 114511211122230 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred eleven million, one hundred twenty-two thousand, two hundred thirty".