121313232000 has 384 divisors, whose sum is σ = 447460556400. Its totient is φ = 31474483200.

The previous prime is 121313231989. The next prime is 121313232067. The reversal of 121313232000 is 232313121.

121313232000 is a `hidden beast` number, since 1 + 213 + 132 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 693163584 + 120620068416 = 26328^2 + 347304^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5316616 + ... + 5339384.

Almost surely, 2^121313232000 is an apocalyptic number.

121313232000 is a gapful number since it is divisible by the number (10) 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 121313232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223730278200).

121313232000 is an abundant number, since it is smaller than the sum of its proper divisors (326147324400).

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

121313232000 is a wasteful number, since it uses less digits than its factorization.

121313232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22841 (or 22816 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121313232000 its reverse (232313121), we get a palindrome (121545545121).

The spelling of 121313232000 in words is "one hundred twenty-one billion, three hundred thirteen million, two hundred thirty-two thousand".