12121430400 has 288 divisors, whose sum is σ = 43708009800. Its totient is φ = 3198320640.

The previous prime is 12121430381. The next prime is 12121430401. The reversal of 12121430400 is 403412121.

12121430400 is a `hidden beast` number, since 1 + 21 + 214 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121430401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2791431 + ... + 2795769.

Almost surely, 2^12121430400 is an apocalyptic number.

12121430400 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 12121430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21854004900).

12121430400 is an abundant number, since it is smaller than the sum of its proper divisors (31586579400).

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

12121430400 is a wasteful number, since it uses less digits than its factorization.

12121430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12121430400 its reverse (403412121), we get a palindrome (12524842521).

The spelling of 12121430400 in words is "twelve billion, one hundred twenty-one million, four hundred thirty thousand, four hundred".