121535215668 has 96 divisors (see below), whose sum is σ = 325370608640. Its totient is φ = 39191040000.

The previous prime is 121535215663. The next prime is 121535215693. The reversal of 121535215668 is 866512535121.

121535215668 is a `hidden beast` number, since 1 + 2 + 1 + 535 + 2 + 1 + 56 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121535215663) 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 31 ways as a sum of consecutive naturals, for example, 14060628 + ... + 14069268.

Almost surely, 2^121535215668 is an apocalyptic number.

121535215668 is a gapful number since it is divisible by the number (18) 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 121535215668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162685304320).

121535215668 is an abundant number, since it is smaller than the sum of its proper divisors (203835392972).

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

121535215668 is a wasteful number, since it uses less digits than its factorization.

121535215668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12886 (or 12878 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 121535215668 in words is "one hundred twenty-one billion, five hundred thirty-five million, two hundred fifteen thousand, six hundred sixty-eight".