121416512 has 56 divisors (see below), whose sum is σ = 281025600. Its totient is φ = 52026240.

The previous prime is 121416509. The next prime is 121416527. The reversal of 121416512 is 215614121.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×121416512² = 29483938772492288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 19187 + ... + 24717.

Almost surely, 2^121416512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140512800).

121416512 is an abundant number, since it is smaller than the sum of its proper divisors (159609088).

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

121416512 is an frugal number, since it uses more digits than its factorization.

121416512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5540 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 121416512 is about 11018.9160991451. The cubic root of 121416512 is about 495.1756163596.

The spelling of 121416512 in words is "one hundred twenty-one million, four hundred sixteen thousand, five hundred twelve".