121320400 has 60 divisors (see below), whose sum is σ = 304168032. Its totient is φ = 46414720.

The previous prime is 121320389. The next prime is 121320403. The reversal of 121320400 is 4023121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121320403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2607 + ... + 15793.

Almost surely, 2^121320400 is an apocalyptic number.

121320400 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 121320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152084016).

121320400 is an abundant number, since it is smaller than the sum of its proper divisors (182847632).

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

121320400 is a wasteful number, since it uses less digits than its factorization.

121320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 121320400 is about 11014.5540082202. The cubic root of 121320400 is about 495.0449233113.

Adding to 121320400 its reverse (4023121), we get a palindrome (125343521).

The spelling of 121320400 in words is "one hundred twenty-one million, three hundred twenty thousand, four hundred".