114240124320 has 192 divisors, whose sum is σ = 416220456960. Its totient is φ = 25797362688.

The previous prime is 114240124309. The next prime is 114240124381. The reversal of 114240124320 is 23421042411.

It is a Harshad number since it is a multiple of its sum of digits (24).

114240124320 is a modest number, since divided by 124320 gives 114240 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74061 + ... + 483699.

It is an arithmetic number, because the mean of its divisors is an integer number (2167814880).

Almost surely, 2^114240124320 is an apocalyptic number.

114240124320 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 114240124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208110228480).

114240124320 is an abundant number, since it is smaller than the sum of its proper divisors (301980332640).

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

114240124320 is a wasteful number, since it uses less digits than its factorization.

114240124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409747 (or 409739 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114240124320 its reverse (23421042411), we get a palindrome (137661166731).

The spelling of 114240124320 in words is "one hundred fourteen billion, two hundred forty million, one hundred twenty-four thousand, three hundred twenty".