121792273346304 has 1152 divisors, whose sum is σ = 434558612275200. Its totient is φ = 33190632161280.

The previous prime is 121792273346299. The next prime is 121792273346357. The reversal of 121792273346304 is 403643372297121.

121792273346304 is a `hidden beast` number, since 1 + 2 + 1 + 79 + 227 + 3 + 3 + 46 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42303671137 + ... + 42303674015.

It is an arithmetic number, because the mean of its divisors is an integer number (377221017600).

Almost surely, 2^{121792273346304} 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 121792273346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217279306137600).

121792273346304 is an abundant number, since it is smaller than the sum of its proper divisors (312766338928896).

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

121792273346304 is a wasteful number, since it uses less digits than its factorization.

121792273346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 121792273346304 in words is "one hundred twenty-one trillion, seven hundred ninety-two billion, two hundred seventy-three million, three hundred forty-six thousand, three hundred four".