114224123201200 has 60 divisors (see below), whose sum is σ = 275414154655120. Its totient is φ = 45524704654080.

The previous prime is 114224123201191. The next prime is 114224123201299. The reversal of 114224123201200 is 2102321422411.

It is a super-2 number, since 2×114224123201200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515341020 + ... + 515562619.

Almost surely, 2^{114224123201200} is an apocalyptic number.

114224123201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114224123201200 is an abundant number, since it is smaller than the sum of its proper divisors (161190031453920).

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

114224123201200 is a wasteful number, since it uses less digits than its factorization.

114224123201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030903934 (or 1030903923 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114224123201200 its reverse (2102321422411), we get a palindrome (116326444623611).

The spelling of 114224123201200 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred twenty-three million, two hundred one thousand, two hundred".