12212066926800 has 1440 divisors, whose sum is σ = 50001039728640. Its totient is φ = 2734992691200.

The previous prime is 12212066926793. The next prime is 12212066926817. The reversal of 12212066926800 is 862966021221.

12212066926800 is a `hidden beast` number, since 122 + 1 + 206 + 69 + 268 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1968732499 + ... + 1968738701.

It is an arithmetic number, because the mean of its divisors is an integer number (34722944256).

Almost surely, 2^{12212066926800} is an apocalyptic number.

12212066926800 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 12212066926800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25000519864320).

12212066926800 is an abundant number, since it is smaller than the sum of its proper divisors (37788972801840).

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

12212066926800 is a wasteful number, since it uses less digits than its factorization.

12212066926800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12212066926800 in words is "twelve trillion, two hundred twelve billion, sixty-six million, nine hundred twenty-six thousand, eight hundred".