121032000320 has 224 divisors, whose sum is σ = 378236805120. Its totient is φ = 35738634240.

The previous prime is 121032000281. The next prime is 121032000343. The reversal of 121032000320 is 23000230121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121032000295 and 121032000304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338897 + ... + 597423.

Almost surely, 2^121032000320 is an apocalyptic number.

121032000320 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 121032000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189118402560).

121032000320 is an abundant number, since it is smaller than the sum of its proper divisors (257204804800).

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

121032000320 is a wasteful number, since it uses less digits than its factorization.

121032000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258581 (or 258571 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 121032000320 its reverse (23000230121), we get a palindrome (144032230441).

It can be divided in two parts, 121032000 and 320, that multiplied together give a square (38730240000 = 196800²).

The spelling of 121032000320 in words is "one hundred twenty-one billion, thirty-two million, three hundred twenty", and thus it is an aban number.