121467117348864 has 2304 divisors, whose sum is σ = 463378154803200. Its totient is φ = 30989640794112.

The previous prime is 121467117348853. The next prime is 121467117348923. The reversal of 121467117348864 is 468843711764121.

121467117348864 is a `hidden beast` number, since 1 + 2 + 1 + 467 + 1 + 1 + 7 + 34 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 111131854302 + ... + 111131855394.

It is an arithmetic number, because the mean of its divisors is an integer number (201118990800).

Almost surely, 2^{121467117348864} is an apocalyptic number.

121467117348864 is a gapful number since it is divisible by the number (14) 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 121467117348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231689077401600).

121467117348864 is an abundant number, since it is smaller than the sum of its proper divisors (341911037454336).

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

121467117348864 is a wasteful number, since it uses less digits than its factorization.

121467117348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1220 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 121467117348864 in words is "one hundred twenty-one trillion, four hundred sixty-seven billion, one hundred seventeen million, three hundred forty-eight thousand, eight hundred sixty-four".