1123626320000 has 160 divisors (see below), whose sum is σ = 2865430190700. Its totient is φ = 438487040000.

The previous prime is 1123626319999. The next prime is 1123626320009. The reversal of 1123626320000 is 236263211.

It can be written as a sum of positive squares in 10 ways, for example, as 212609521216 + 911016798784 = 461096^2 + 954472^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1123626320000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123626320009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3108716 + ... + 3451284.

Almost surely, 2^{1123626320000} is an apocalyptic number.

1123626320000 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 1123626320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432715095350).

1123626320000 is an abundant number, since it is smaller than the sum of its proper divisors (1741803870700).

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

1123626320000 is an frugal number, since it uses more digits than its factorization.

1123626320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342644 (or 342617 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 1123626320000 in words is "one trillion, one hundred twenty-three billion, six hundred twenty-six million, three hundred twenty thousand".