121848243264 has 168 divisors, whose sum is σ = 382984504032. Its totient is φ = 36732026880.

The previous prime is 121848243263. The next prime is 121848243271. The reversal of 121848243264 is 462342848121.

121848243264 is a `hidden beast` number, since 1 + 2 + 1 + 84 + 82 + 432 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (121848243263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173027 + ... + 1272669.

Almost surely, 2^121848243264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121848243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191492252016).

121848243264 is an abundant number, since it is smaller than the sum of its proper divisors (261136260768).

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

121848243264 is a wasteful number, since it uses less digits than its factorization.

121848243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99865 (or 99852 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 121848243264 in words is "one hundred twenty-one billion, eight hundred forty-eight million, two hundred forty-three thousand, two hundred sixty-four".