114400121123500 has 192 divisors, whose sum is σ = 272632424762880. Its totient is φ = 41785740345600.

The previous prime is 114400121123471. The next prime is 114400121123507. The reversal of 114400121123500 is 5321121004411.

It is a happy number.

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 (114400121123507) 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 63 ways as a sum of consecutive naturals, for example, 36089647 + ... + 39131353.

It is an arithmetic number, because the mean of its divisors is an integer number (1419960545640).

Almost surely, 2^{114400121123500} is an apocalyptic number.

114400121123500 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 114400121123500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136316212381440).

114400121123500 is an abundant number, since it is smaller than the sum of its proper divisors (158232303639380).

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

114400121123500 is a wasteful number, since it uses less digits than its factorization.

114400121123500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041889 (or 3041877 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 114400121123500 its reverse (5321121004411), we get a palindrome (119721242127911).

The spelling of 114400121123500 in words is "one hundred fourteen trillion, four hundred billion, one hundred twenty-one million, one hundred twenty-three thousand, five hundred".