12021452414400 has 2016 divisors, whose sum is σ = 48635460020224. Its totient is φ = 2580221952000.

The previous prime is 12021452414381. The next prime is 12021452414401. The reversal of 12021452414400 is 441425412021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021452414401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19804698897 + ... + 19804699503.

Almost surely, 2^{12021452414400} is an apocalyptic number.

12021452414400 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 12021452414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24317730010112).

12021452414400 is an abundant number, since it is smaller than the sum of its proper divisors (36614007605824).

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

12021452414400 is a wasteful number, since it uses less digits than its factorization.

12021452414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 12021452414400 its reverse (441425412021), we get a palindrome (12462877826421).

The spelling of 12021452414400 in words is "twelve trillion, twenty-one billion, four hundred fifty-two million, four hundred fourteen thousand, four hundred".