114224121005200 has 240 divisors, whose sum is σ = 277735279804416. Its totient is φ = 45141488179200.

The previous prime is 114224121005153. The next prime is 114224121005209. The reversal of 114224121005200 is 2500121422411.

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

It is not an unprimeable number, because it can be changed into a prime (114224121005209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31897267410 + ... + 31897270990.

Almost surely, 2^{114224121005200} is an apocalyptic number.

114224121005200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114224121005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138867639902208).

114224121005200 is an abundant number, since it is smaller than the sum of its proper divisors (163511158799216).

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

114224121005200 is a wasteful number, since it uses less digits than its factorization.

114224121005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 114224121005200 its reverse (2500121422411), we get a palindrome (116724242427611).

The spelling of 114224121005200 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred twenty-one million, five thousand, two hundred".