13212144200430 has 256 divisors, whose sum is σ = 41539333570560. Its totient is φ = 2925119568384.

The previous prime is 13212144200401. The next prime is 13212144200447. The reversal of 13212144200430 is 3400244121231.

13212144200430 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 21 + 4 + 4 + 200 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13212144200394 and 13212144200403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15170772 + ... + 16018008.

It is an arithmetic number, because the mean of its divisors is an integer number (162263021760).

Almost surely, 2^{13212144200430} is an apocalyptic number.

13212144200430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212144200430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769666785280).

13212144200430 is an abundant number, since it is smaller than the sum of its proper divisors (28327189370130).

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

13212144200430 is a wasteful number, since it uses less digits than its factorization.

13212144200430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847520 (or 847514 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13212144200430 its reverse (3400244121231), we get a palindrome (16612388321661).

The spelling of 13212144200430 in words is "thirteen trillion, two hundred twelve billion, one hundred forty-four million, two hundred thousand, four hundred thirty".