121714241600 has 168 divisors, whose sum is σ = 342830432448. Its totient is φ = 41663232000.

The previous prime is 121714241591. The next prime is 121714241611. The reversal of 121714241600 is 6142417121.

It is a happy number.

121714241600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7193150 + ... + 7210050.

It is an arithmetic number, because the mean of its divisors is an integer number (2040657336).

Almost surely, 2^121714241600 is an apocalyptic number.

121714241600 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 121714241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171415216224).

121714241600 is an abundant number, since it is smaller than the sum of its proper divisors (221116190848).

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

121714241600 is a wasteful number, since it uses less digits than its factorization.

121714241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17573 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 121714241600 its reverse (6142417121), we get a palindrome (127856658721).

The spelling of 121714241600 in words is "one hundred twenty-one billion, seven hundred fourteen million, two hundred forty-one thousand, six hundred".