1123121011200 has 120 divisors (see below), whose sum is σ = 3710160192288. Its totient is φ = 299498926080.

The previous prime is 1123121011193. The next prime is 1123121011307. The reversal of 1123121011200 is 21101213211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1123121011200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1123121011200.

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, 14585572 + ... + 14662371.

Almost surely, 2^{1123121011200} is an apocalyptic number.

1123121011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123121011200 is an abundant number, since it is smaller than the sum of its proper divisors (2587039181088).

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

1123121011200 is an equidigital number, since it uses as much as digits as its factorization.

1123121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29247974 (or 29247953 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1123121011200 its reverse (21101213211), we get a palindrome (1144222224411).

The spelling of 1123121011200 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-one million, eleven thousand, two hundred".