11123001101200 has 60 divisors (see below), whose sum is σ = 26725170768660. Its totient is φ = 4448840711680.

The previous prime is 11123001101197. The next prime is 11123001101257. The reversal of 11123001101200 is 210110032111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1259682990736 + 9863318110464 = 1122356^2 + 3140592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3856866 + ... + 6092734.

It is an arithmetic number, because the mean of its divisors is an integer number (445419512811).

Almost surely, 2^{11123001101200} is an apocalyptic number.

11123001101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123001101200 is an abundant number, since it is smaller than the sum of its proper divisors (15602169667460).

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

11123001101200 is a wasteful number, since it uses less digits than its factorization.

11123001101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248324 (or 2248313 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11123001101200 its reverse (210110032111), we get a palindrome (11333111133311).

The spelling of 11123001101200 in words is "eleven trillion, one hundred twenty-three billion, one million, one hundred one thousand, two hundred".