121310400 has 168 divisors, whose sum is σ = 403148800. Its totient is φ = 31933440.

The previous prime is 121310369. The next prime is 121310407. The reversal of 121310400 is 4013121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121310407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609501 + ... + 609699.

Almost surely, 2^121310400 is an apocalyptic number.

121310400 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 121310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201574400).

121310400 is an abundant number, since it is smaller than the sum of its proper divisors (281838400).

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

121310400 is a wasteful number, since it uses less digits than its factorization.

121310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121310400 is about 11014.1000540217. The cubic root of 121310400 is about 495.0313213524.

Adding to 121310400 its reverse (4013121), we get a palindrome (125323521).

The spelling of 121310400 in words is "one hundred twenty-one million, three hundred ten thousand, four hundred".