1123220201300 has 216 divisors, whose sum is σ = 2637512047800. Its totient is φ = 415006986240.

The previous prime is 1123220201297. The next prime is 1123220201317. The reversal of 1123220201300 is 31020223211.

It can be written as a sum of positive squares in 12 ways, for example, as 717507255364 + 405712945936 = 847058^2 + 636956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234539306 + ... + 234544094.

It is an arithmetic number, because the mean of its divisors is an integer number (12210703925).

Almost surely, 2^{1123220201300} is an apocalyptic number.

1123220201300 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 1123220201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318756023900).

1123220201300 is an abundant number, since it is smaller than the sum of its proper divisors (1514291846500).

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

1123220201300 is a wasteful number, since it uses less digits than its factorization.

1123220201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1123220201300 its reverse (31020223211), we get a palindrome (1154240424511).

The spelling of 1123220201300 in words is "one trillion, one hundred twenty-three billion, two hundred twenty million, two hundred one thousand, three hundred".