114511221412320 has 96 divisors (see below), whose sum is σ = 360721766754720. Its totient is φ = 30535358996480.

The previous prime is 114511221412307. The next prime is 114511221412331. The reversal of 114511221412320 is 23214122115411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114511221412320² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 11465716 + ... + 18986444.

It is an arithmetic number, because the mean of its divisors is an integer number (3757518403695).

Almost surely, 2^{114511221412320} is an apocalyptic number.

114511221412320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114511221412320 is an abundant number, since it is smaller than the sum of its proper divisors (246210545342400).

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

114511221412320 is a wasteful number, since it uses less digits than its factorization.

114511221412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552468 (or 7552460 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 114511221412320 its reverse (23214122115411), we get a palindrome (137725343527731).

The spelling of 114511221412320 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred twenty-one million, four hundred twelve thousand, three hundred twenty".