121802062968600 has 768 divisors, whose sum is σ = 465524055982080. Its totient is φ = 25738580736000.

The previous prime is 121802062968589. The next prime is 121802062968643. The reversal of 121802062968600 is 6869260208121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 539591359 + ... + 539817041.

It is an arithmetic number, because the mean of its divisors is an integer number (606151114560).

Almost surely, 2^{121802062968600} is an apocalyptic number.

121802062968600 is a gapful number since it is divisible by the number (10) 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 121802062968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232762027991040).

121802062968600 is an abundant number, since it is smaller than the sum of its proper divisors (343721993013480).

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

121802062968600 is a wasteful number, since it uses less digits than its factorization.

121802062968600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225920 (or 225911 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 121802062968600 in words is "one hundred twenty-one trillion, eight hundred two billion, sixty-two million, nine hundred sixty-eight thousand, six hundred".