13212406454400 has 384 divisors, whose sum is σ = 48407103532800. Its totient is φ = 3519419904000.

The previous prime is 13212406454309. The next prime is 13212406454413. The reversal of 13212406454400 is 445460421231.

13212406454400 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 4 + 0 + 645 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 78626470 + ... + 78794330.

It is an arithmetic number, because the mean of its divisors is an integer number (126060165450).

Almost surely, 2^{13212406454400} is an apocalyptic number.

13212406454400 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 13212406454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203551766400).

13212406454400 is an abundant number, since it is smaller than the sum of its proper divisors (35194697078400).

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

13212406454400 is a wasteful number, since it uses less digits than its factorization.

13212406454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168805 (or 168782 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13212406454400 its reverse (445460421231), we get a palindrome (13657866875631).

The spelling of 13212406454400 in words is "thirteen trillion, two hundred twelve billion, four hundred six million, four hundred fifty-four thousand, four hundred".