1227020140800 has 756 divisors, whose sum is σ = 4581825557764. Its totient is φ = 325173657600.

The previous prime is 1227020140793. The next prime is 1227020140813. The reversal of 1227020140800 is 80410207221.

It can be written as a sum of positive squares in 6 ways, for example, as 34346467584 + 1192673673216 = 185328^2 + 1092096^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 844472874 + ... + 844474326.

Almost surely, 2^{1227020140800} is an apocalyptic number.

1227020140800 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 1227020140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290912778882).

1227020140800 is an abundant number, since it is smaller than the sum of its proper divisors (3354805416964).

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

1227020140800 is an equidigital number, since it uses as much as digits as its factorization.

1227020140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 1227020140800 in words is "one trillion, two hundred twenty-seven billion, twenty million, one hundred forty thousand, eight hundred".