121239448704 has 512 divisors, whose sum is σ = 418784256000. Its totient is φ = 34138091520.

The previous prime is 121239448679. The next prime is 121239448751. The reversal of 121239448704 is 407844932121.

121239448704 is a `hidden beast` number, since 1 + 212 + 394 + 48 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121239448704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38280529 + ... + 38283695.

It is an arithmetic number, because the mean of its divisors is an integer number (817938000).

Almost surely, 2^121239448704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121239448704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209392128000).

121239448704 is an abundant number, since it is smaller than the sum of its proper divisors (297544807296).

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

121239448704 is a wasteful number, since it uses less digits than its factorization.

121239448704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 121239448704 in words is "one hundred twenty-one billion, two hundred thirty-nine million, four hundred forty-eight thousand, seven hundred four".