121917819168 has 48 divisors (see below), whose sum is σ = 355593641760. Its totient is φ = 40639272768.

The previous prime is 121917819167. The next prime is 121917819169. The reversal of 121917819168 is 861918719121.

It is an interprime number because it is at equal distance from previous prime (121917819167) and next prime (121917819169).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×121917819168² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (121917819161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70553430 + ... + 70555157.

It is an arithmetic number, because the mean of its divisors is an integer number (7408200870).

Almost surely, 2^121917819168 is an apocalyptic number.

121917819168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121917819168 is an abundant number, since it is smaller than the sum of its proper divisors (233675822592).

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

121917819168 is a wasteful number, since it uses less digits than its factorization.

121917819168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141108606 (or 141108592 counting only the distinct ones).

The product of its digits is 435456, while the sum is 54.

The spelling of 121917819168 in words is "one hundred twenty-one billion, nine hundred seventeen million, eight hundred nineteen thousand, one hundred sixty-eight".