121935645216 has 960 divisors, whose sum is σ = 472947019776. Its totient is φ = 29880576000.

The previous prime is 121935645211. The next prime is 121935645229. The reversal of 121935645216 is 612546539121.

It is a happy number.

121935645216 is a `hidden beast` number, since 1 + 2 + 193 + 5 + 6 + 452 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (121935645211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 463633501 + ... + 463633763.

Almost surely, 2^121935645216 is an apocalyptic number.

121935645216 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 121935645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236473509888).

121935645216 is an abundant number, since it is smaller than the sum of its proper divisors (351011374560).

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

121935645216 is a wasteful number, since it uses less digits than its factorization.

121935645216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 410 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 121935645216 in words is "one hundred twenty-one billion, nine hundred thirty-five million, six hundred forty-five thousand, two hundred sixteen".