1223746531600 has 120 divisors (see below), whose sum is σ = 3023011280520. Its totient is φ = 475855810560.

The previous prime is 1223746531549. The next prime is 1223746531603. The reversal of 1223746531600 is 61356473221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 28634054656 + 1195112476944 = 169216^2 + 1093212^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1223746531603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046012 + ... + 2575588.

It is an arithmetic number, because the mean of its divisors is an integer number (25191760671).

Almost surely, 2^{1223746531600} is an apocalyptic number.

1223746531600 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 1223746531600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511505640260).

1223746531600 is an abundant number, since it is smaller than the sum of its proper divisors (1799264748920).

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

1223746531600 is a wasteful number, since it uses less digits than its factorization.

1223746531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529757 (or 529746 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 1223746531600 in words is "one trillion, two hundred twenty-three billion, seven hundred forty-six million, five hundred thirty-one thousand, six hundred".