121617207712 has 144 divisors (see below), whose sum is σ = 323245121472. Its totient is φ = 43738306560.

The previous prime is 121617207697. The next prime is 121617207739. The reversal of 121617207712 is 217702716121.

121617207712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270388 + ... + 562444.

It is an arithmetic number, because the mean of its divisors is an integer number (2244757788).

Almost surely, 2^121617207712 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 121617207712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161622560736).

121617207712 is an abundant number, since it is smaller than the sum of its proper divisors (201627913760).

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

121617207712 is a wasteful number, since it uses less digits than its factorization.

121617207712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292111 (or 292090 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 37.

The spelling of 121617207712 in words is "one hundred twenty-one billion, six hundred seventeen million, two hundred seven thousand, seven hundred twelve".