121295360448 has 336 divisors, whose sum is σ = 362464502400. Its totient is φ = 38755584000.

The previous prime is 121295360443. The next prime is 121295360467. The reversal of 121295360448 is 844063592121.

121295360448 is a `hidden beast` number, since 12 + 1 + 29 + 5 + 3 + 604 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121295360443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483248323 + ... + 483248573.

It is an arithmetic number, because the mean of its divisors is an integer number (1078763400).

Almost surely, 2^121295360448 is an apocalyptic number.

121295360448 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 121295360448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181232251200).

121295360448 is an abundant number, since it is smaller than the sum of its proper divisors (241169141952).

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

121295360448 is a wasteful number, since it uses less digits than its factorization.

121295360448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 121295360448 in words is "one hundred twenty-one billion, two hundred ninety-five million, three hundred sixty thousand, four hundred forty-eight".