121334814432 has 432 divisors, whose sum is σ = 398500830000. Its totient is φ = 36100546560.

The previous prime is 121334814431. The next prime is 121334814437. The reversal of 121334814432 is 234418433121.

121334814432 is a `hidden beast` number, since 1 + 2 + 133 + 4 + 81 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121334814431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97144944 + ... + 97146192.

It is an arithmetic number, because the mean of its divisors is an integer number (922455625).

Almost surely, 2^121334814432 is an apocalyptic number.

121334814432 is a gapful number since it is divisible by the number (12) 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 121334814432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199250415000).

121334814432 is an abundant number, since it is smaller than the sum of its proper divisors (277166015568).

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

121334814432 is a wasteful number, since it uses less digits than its factorization.

121334814432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1298 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 121334814432 in words is "one hundred twenty-one billion, three hundred thirty-four million, eight hundred fourteen thousand, four hundred thirty-two".