121461447744 has 1008 divisors, whose sum is σ = 464979715200. Its totient is φ = 30116136960.

The previous prime is 121461447721. The next prime is 121461447749. The reversal of 121461447744 is 447744164121.

121461447744 is a `hidden beast` number, since 1 + 21 + 4 + 614 + 4 + 7 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 121461447744.

It is not an unprimeable number, because it can be changed into a prime (121461447749) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 927186559 + ... + 927186689.

It is an arithmetic number, because the mean of its divisors is an integer number (461289400).

Almost surely, 2^121461447744 is an apocalyptic number.

121461447744 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 121461447744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232489857600).

121461447744 is an abundant number, since it is smaller than the sum of its proper divisors (343518267456).

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

121461447744 is a wasteful number, since it uses less digits than its factorization.

121461447744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 175 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The spelling of 121461447744 in words is "one hundred twenty-one billion, four hundred sixty-one million, four hundred forty-seven thousand, seven hundred forty-four".