121633069824 has 288 divisors, whose sum is σ = 414731197440. Its totient is φ = 34443214848.

The previous prime is 121633069819. The next prime is 121633069829. The reversal of 121633069824 is 428960336121.

121633069824 is a `hidden beast` number, since 1 + 2 + 1 + 633 + 0 + 6 + 9 + 8 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (121633069819) and next prime (121633069829).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 121633069824.

It is not an unprimeable number, because it can be changed into a prime (121633069829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5456269 + ... + 5478515.

It is an arithmetic number, because the mean of its divisors is an integer number (1440038880).

Almost surely, 2^121633069824 is an apocalyptic number.

121633069824 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 121633069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207365598720).

121633069824 is an abundant number, since it is smaller than the sum of its proper divisors (293098127616).

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

121633069824 is a wasteful number, since it uses less digits than its factorization.

121633069824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22392 (or 22372 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 121633069824 in words is "one hundred twenty-one billion, six hundred thirty-three million, sixty-nine thousand, eight hundred twenty-four".