121868017216 has 63 divisors (see below), whose sum is σ = 265882193787. Its totient is φ = 55380589440.

The previous prime is 121868017177. The next prime is 121868017217. The reversal of 121868017216 is 612710868121.

The square root of 121868017216 is 349096.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121868017217) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30718465 + ... + 30722431.

Almost surely, 2^121868017216 is an apocalyptic number.

121868017216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121868017216 is the 349096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121868017216

121868017216 is an abundant number, since it is smaller than the sum of its proper divisors (144014176571).

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

121868017216 is an frugal number, since it uses more digits than its factorization.

121868017216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The spelling of 121868017216 in words is "one hundred twenty-one billion, eight hundred sixty-eight million, seventeen thousand, two hundred sixteen".