121714813200312 has 256 divisors, whose sum is σ = 358494591312000. Its totient is φ = 38130691866624.

The previous prime is 121714813200293. The next prime is 121714813200349. The reversal of 121714813200312 is 213002318417121.

121714813200312 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 14 + 8 + 1 + 320 + 0 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10199844298 + ... + 10199856230.

Almost surely, 2^{121714813200312} is an apocalyptic number.

121714813200312 is a gapful number since it is divisible by the number (12) 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 121714813200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179247295656000).

121714813200312 is an abundant number, since it is smaller than the sum of its proper divisors (236779778111688).

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

121714813200312 is a wasteful number, since it uses less digits than its factorization.

121714813200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15687 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 121714813200312 in words is "one hundred twenty-one trillion, seven hundred fourteen billion, eight hundred thirteen million, two hundred thousand, three hundred twelve".