121223846464 has 112 divisors (see below), whose sum is σ = 276273889920. Its totient is φ = 51697704960.

The previous prime is 121223846461. The next prime is 121223846477. The reversal of 121223846464 is 464648322121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 121223846464.

It is not an unprimeable number, because it can be changed into a prime (121223846461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124077144 + ... + 124078120.

It is an arithmetic number, because the mean of its divisors is an integer number (2466731160).

Almost surely, 2^121223846464 is an apocalyptic number.

121223846464 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 121223846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138136944960).

121223846464 is an abundant number, since it is smaller than the sum of its proper divisors (155050043456).

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

121223846464 is an equidigital number, since it uses as much as digits as its factorization.

121223846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2066 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The spelling of 121223846464 in words is "one hundred twenty-one billion, two hundred twenty-three million, eight hundred forty-six thousand, four hundred sixty-four".