12261226348800 has 1944 divisors, whose sum is σ = 53713936025568. Its totient is φ = 2743123968000.

The previous prime is 12261226348783. The next prime is 12261226348807. The reversal of 12261226348800 is 884362216221.

12261226348800 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 1 + 2 + 2 + 634 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-3 number, since 3×12261226348800³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (12261226348807) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2891114680 + ... + 2891118920.

Almost surely, 2^{12261226348800} is an apocalyptic number.

12261226348800 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 12261226348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26856968012784).

12261226348800 is an abundant number, since it is smaller than the sum of its proper divisors (41452709676768).

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

12261226348800 is a wasteful number, since it uses less digits than its factorization.

12261226348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12261226348800 in words is "twelve trillion, two hundred sixty-one billion, two hundred twenty-six million, three hundred forty-eight thousand, eight hundred".