1122763420800 has 1728 divisors, whose sum is σ = 4907267164800. Its totient is φ = 252703825920.

The previous prime is 1122763420777. The next prime is 1122763420817. The reversal of 1122763420800 is 80243672211.

It is a happy number.

1122763420800 is a `hidden beast` number, since 1 + 1 + 227 + 6 + 3 + 420 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 215 ways as a sum of consecutive naturals, for example, 3010089414 + ... + 3010089786.

Almost surely, 2^{1122763420800} is an apocalyptic number.

1122763420800 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 1122763420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453633582400).

1122763420800 is an abundant number, since it is smaller than the sum of its proper divisors (3784503744000).

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

1122763420800 is an equidigital number, since it uses as much as digits as its factorization.

1122763420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1122763420800 in words is "one trillion, one hundred twenty-two billion, seven hundred sixty-three million, four hundred twenty thousand, eight hundred".