12026722406400 has 2028 divisors, whose sum is σ = 51008811406812. Its totient is φ = 2786281390080.

The previous prime is 12026722406357. The next prime is 12026722406429. The reversal of 12026722406400 is 460422762021.

12026722406400 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 6 + 7 + 2 + 2 + 4 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 426649337856 + 11600073068544 = 653184^2 + 3405888^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 155 ways as a sum of consecutive naturals, for example, 707454259192 + ... + 707454259208.

Almost surely, 2^{12026722406400} is an apocalyptic number.

12026722406400 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 12026722406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25504405703406).

12026722406400 is an abundant number, since it is smaller than the sum of its proper divisors (38982089000412).

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

12026722406400 is an frugal number, since it uses more digits than its factorization.

12026722406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12026722406400 in words is "twelve trillion, twenty-six billion, seven hundred twenty-two million, four hundred six thousand, four hundred".