121127531328 has 224 divisors, whose sum is σ = 364345240320. Its totient is φ = 39450378240.

The previous prime is 121127531263. The next prime is 121127531333. The reversal of 121127531328 is 823135721121.

121127531328 is a `hidden beast` number, since 1 + 2 + 112 + 7 + 531 + 3 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121127531292 and 121127531301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13859376 + ... + 13868112.

Almost surely, 2^121127531328 is an apocalyptic number.

121127531328 is a gapful number since it is divisible by the number (18) 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 121127531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182172620160).

121127531328 is an abundant number, since it is smaller than the sum of its proper divisors (243217708992).

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

121127531328 is a wasteful number, since it uses less digits than its factorization.

121127531328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942 (or 8926 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 121127531328 in words is "one hundred twenty-one billion, one hundred twenty-seven million, five hundred thirty-one thousand, three hundred twenty-eight".