121620400 has 120 divisors (see below), whose sum is σ = 322711488. Its totient is φ = 43680000.

The previous prime is 121620379. The next prime is 121620419. The reversal of 121620400 is 4026121.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 576295 + ... + 576505.

Almost surely, 2^121620400 is an apocalyptic number.

121620400 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 121620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161355744).

121620400 is an abundant number, since it is smaller than the sum of its proper divisors (201091088).

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

121620400 is a wasteful number, since it uses less digits than its factorization.

121620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 121620400 is about 11028.1639450998. The cubic root of 121620400 is about 495.4526349866.

Adding to 121620400 its reverse (4026121), we get a palindrome (125646521).

The spelling of 121620400 in words is "one hundred twenty-one million, six hundred twenty thousand, four hundred".