1228836268800 has 1296 divisors, whose sum is σ = 5550678796320. Its totient is φ = 264323727360.

The previous prime is 1228836268697. The next prime is 1228836268859. The reversal of 1228836268800 is 88626388221.

1228836268800 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 8 + 3 + 626 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143938132 + ... + 143946668.

It is an arithmetic number, because the mean of its divisors is an integer number (4282931170).

Almost surely, 2^{1228836268800} is an apocalyptic number.

1228836268800 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 1228836268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775339398160).

1228836268800 is an abundant number, since it is smaller than the sum of its proper divisors (4321842527520).

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

1228836268800 is a wasteful number, since it uses less digits than its factorization.

1228836268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1228836268800 in words is "one trillion, two hundred twenty-eight billion, eight hundred thirty-six million, two hundred sixty-eight thousand, eight hundred".