12421103402400 has 288 divisors, whose sum is σ = 50407096739328. Its totient is φ = 2581008460800.

The previous prime is 12421103402371. The next prime is 12421103402413. The reversal of 12421103402400 is 420430112421.

It is a super-2 number, since 2×12421103402400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33422082 + ... + 33791681.

It is an arithmetic number, because the mean of its divisors is an integer number (175024641456).

Almost surely, 2^{12421103402400} is an apocalyptic number.

12421103402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421103402400 is an abundant number, since it is smaller than the sum of its proper divisors (37985993336928).

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

12421103402400 is a wasteful number, since it uses less digits than its factorization.

12421103402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67213804 (or 67213791 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12421103402400 its reverse (420430112421), we get a palindrome (12841533514821).

The spelling of 12421103402400 in words is "twelve trillion, four hundred twenty-one billion, one hundred three million, four hundred two thousand, four hundred".