121973620379904 has 360 divisors, whose sum is σ = 373649958956120. Its totient is φ = 39546634862592.

The previous prime is 121973620379843. The next prime is 121973620379917. The reversal of 121973620379904 is 409973026379121.

121973620379904 is a `hidden beast` number, since 12 + 197 + 3 + 62 + 0 + 379 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51409588322304 + 70564032057600 = 7170048^2 + 8400240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2633884302 + ... + 2633930610.

Almost surely, 2^{121973620379904} 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 121973620379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186824979478060).

121973620379904 is an abundant number, since it is smaller than the sum of its proper divisors (251676338576216).

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

121973620379904 is an equidigital number, since it uses as much as digits as its factorization.

121973620379904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49807 (or 49784 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 121973620379904 in words is "one hundred twenty-one trillion, nine hundred seventy-three billion, six hundred twenty million, three hundred seventy-nine thousand, nine hundred four".