114402141120300 has 144 divisors (see below), whose sum is σ = 361115114153472. Its totient is φ = 27732288953600.

The previous prime is 114402141120257. The next prime is 114402141120307. The reversal of 114402141120300 is 3021141204411.

It is a happy number.

It is a super-2 number, since 2×114402141120300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114402141120307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 58111702 + ... + 60048098.

It is an arithmetic number, because the mean of its divisors is an integer number (2507743848288).

Almost surely, 2^{114402141120300} is an apocalyptic number.

114402141120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114402141120300 is an abundant number, since it is smaller than the sum of its proper divisors (246712973033172).

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

114402141120300 is a wasteful number, since it uses less digits than its factorization.

114402141120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954328 (or 1954321 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114402141120300 its reverse (3021141204411), we get a palindrome (117423282324711).

The spelling of 114402141120300 in words is "one hundred fourteen trillion, four hundred two billion, one hundred forty-one million, one hundred twenty thousand, three hundred".