121605736 has 64 divisors (see below), whose sum is σ = 267252480. Its totient is φ = 50803200.

The previous prime is 121605733. The next prime is 121605749. The reversal of 121605736 is 637506121.

It is a junction number, because it is equal to n+sod(n) for n = 121605698 and 121605707.

It is not an unprimeable number, because it can be changed into a prime (121605733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617190 + ... + 617386.

It is an arithmetic number, because the mean of its divisors is an integer number (4175820).

Almost surely, 2^121605736 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 121605736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133626240).

121605736 is an abundant number, since it is smaller than the sum of its proper divisors (145646744).

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

121605736 is a wasteful number, since it uses less digits than its factorization.

121605736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 121605736 is about 11027.4990818408. The cubic root of 121605736 is about 495.4327216348.

The spelling of 121605736 in words is "one hundred twenty-one million, six hundred five thousand, seven hundred thirty-six".