121893153424 has 135 divisors (see below), whose sum is σ = 283192052283. Its totient is φ = 50677208064.

The previous prime is 121893153419. The next prime is 121893153433. The reversal of 121893153424 is 424351398121.

The square root of 121893153424 is 349132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5584871824 + 116308281600 = 74732^2 + 341040^2 .

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 26 ways as a sum of consecutive naturals, for example, 361700584 + ... + 361700920.

Almost surely, 2^121893153424 is an apocalyptic number.

121893153424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121893153424 is the 349132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121893153424

121893153424 is an abundant number, since it is smaller than the sum of its proper divisors (161298898859).

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

121893153424 is an frugal number, since it uses more digits than its factorization.

121893153424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 383 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

It can be divided in two parts, 12189 and 3153424, that added together give a palindrome (3165613).

The spelling of 121893153424 in words is "one hundred twenty-one billion, eight hundred ninety-three million, one hundred fifty-three thousand, four hundred twenty-four".