121238365248 has 2688 divisors, whose sum is σ = 560402841600. Its totient is φ = 25082265600.

The previous prime is 121238365243. The next prime is 121238365253. The reversal of 121238365248 is 842563832121.

121238365248 is a `hidden beast` number, since 1 + 2 + 12 + 38 + 365 + 248 = 666.

It is a Cunningham number, because it is equal to 348193²-1.

It is an interprime number because it is at equal distance from previous prime (121238365243) and next prime (121238365253).

It is not an unprimeable number, because it can be changed into a prime (121238365243) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3910914993 + ... + 3910915023.

It is an arithmetic number, because the mean of its divisors is an integer number (208483200).

Almost surely, 2^121238365248 is an apocalyptic number.

121238365248 is a gapful number since it is divisible by the number (18) 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 121238365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280201420800).

121238365248 is an abundant number, since it is smaller than the sum of its proper divisors (439164476352).

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

121238365248 is a wasteful number, since it uses less digits than its factorization.

121238365248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 121238365248 in words is "one hundred twenty-one billion, two hundred thirty-eight million, three hundred sixty-five thousand, two hundred forty-eight".