121814355168 has 960 divisors, whose sum is σ = 437117700096. Its totient is φ = 33119539200.

The previous prime is 121814355121. The next prime is 121814355191. The reversal of 121814355168 is 861553418121.

121814355168 is a `hidden beast` number, since 1 + 21 + 8 + 14 + 3 + 551 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1818124671 + ... + 1818124737.

Almost surely, 2^121814355168 is an apocalyptic number.

121814355168 is a gapful number since it is divisible by the number (18) 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 121814355168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218558850048).

121814355168 is an abundant number, since it is smaller than the sum of its proper divisors (315303344928).

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

121814355168 is a wasteful number, since it uses less digits than its factorization.

121814355168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The spelling of 121814355168 in words is "one hundred twenty-one billion, eight hundred fourteen million, three hundred fifty-five thousand, one hundred sixty-eight".