121393272 has 256 divisors, whose sum is σ = 423198720. Its totient is φ = 27993600.

The previous prime is 121393271. The next prime is 121393289. The reversal of 121393272 is 272393121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121393271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744663 + ... + 744825.

It is an arithmetic number, because the mean of its divisors is an integer number (1653120).

Almost surely, 2^121393272 is an apocalyptic number.

121393272 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 121393272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211599360).

121393272 is an abundant number, since it is smaller than the sum of its proper divisors (301805448).

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

121393272 is a wasteful number, since it uses less digits than its factorization.

121393272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 121393272 is about 11017.8614984942. The cubic root of 121393272 is about 495.1440209436.

It can be divided in two parts, 121 and 393272, that added together give a palindrome (393393).

The spelling of 121393272 in words is "one hundred twenty-one million, three hundred ninety-three thousand, two hundred seventy-two".