121320000 has 210 divisors, whose sum is σ = 435827678. Its totient is φ = 32256000.

The previous prime is 121319999. The next prime is 121320011. The reversal of 121320000 is 23121.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 61968384 + 59351616 = 7872^2 + 7704^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359832 + ... + 360168.

Almost surely, 2^121320000 is an apocalyptic number.

121320000 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 121320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217913839).

121320000 is an abundant number, since it is smaller than the sum of its proper divisors (314507678).

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

121320000 is an equidigital number, since it uses as much as digits as its factorization.

121320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 121320000 is about 11014.5358504115. The cubic root of 121320000 is about 495.0443792473.

Adding to 121320000 its reverse (23121), we get a palindrome (121343121).

The spelling of 121320000 in words is "one hundred twenty-one million, three hundred twenty thousand".