121506111936 has 336 divisors, whose sum is σ = 411152571648. Its totient is φ = 35218022400.

The previous prime is 121506111929. The next prime is 121506111949. The reversal of 121506111936 is 639111605121.

121506111936 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 0 + 611 + 1 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121506111936.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3919216 + ... + 3950096.

It is an arithmetic number, because the mean of its divisors is an integer number (1223668368).

Almost surely, 2^121506111936 is an apocalyptic number.

121506111936 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 121506111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205576285824).

121506111936 is an abundant number, since it is smaller than the sum of its proper divisors (289646459712).

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

121506111936 is a wasteful number, since it uses less digits than its factorization.

121506111936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30942 (or 30920 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 121506111936 in words is "one hundred twenty-one billion, five hundred six million, one hundred eleven thousand, nine hundred thirty-six".