121205536 has 48 divisors (see below), whose sum is σ = 250483968. Its totient is φ = 57657600.

The previous prime is 121205533. The next prime is 121205537. The reversal of 121205536 is 635502121.

It is a self number, because there is not a number n which added to its sum of digits gives 121205536.

It is not an unprimeable number, because it can be changed into a prime (121205533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59511 + ... + 61513.

It is an arithmetic number, because the mean of its divisors is an integer number (5218416).

Almost surely, 2^121205536 is an apocalyptic number.

121205536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121205536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125241984).

121205536 is an abundant number, since it is smaller than the sum of its proper divisors (129278432).

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

121205536 is a wasteful number, since it uses less digits than its factorization.

121205536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 121205536 is about 11009.3385814044. The cubic root of 121205536 is about 494.8886407320. Note that the first 3 decimals are identical.

Adding to 121205536 its reverse (635502121), we get a palindrome (756707657).

The spelling of 121205536 in words is "one hundred twenty-one million, two hundred five thousand, five hundred thirty-six".