1123227648000 has 1440 divisors, whose sum is σ = 4383670968768. Its totient is φ = 286654464000.

The previous prime is 1123227647977. The next prime is 1123227648041. The reversal of 1123227648000 is 8467223211.

It is a happy number.

1123227648000 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 2 + 2 + 7 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1123227648000² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 18413567970 + ... + 18413568030.

Almost surely, 2^{1123227648000} is an apocalyptic number.

1123227648000 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 1123227648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191835484384).

1123227648000 is an abundant number, since it is smaller than the sum of its proper divisors (3260443320768).

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

1123227648000 is an frugal number, since it uses more digits than its factorization.

1123227648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 108 counting only the distinct ones).

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

The spelling of 1123227648000 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-seven million, six hundred forty-eight thousand".