1121162105200 has 120 divisors (see below), whose sum is σ = 2760447913776. Its totient is φ = 437342976000.

The previous prime is 1121162105183. The next prime is 1121162105227. The reversal of 1121162105200 is 25012611211.

It is a super-2 number, since 2×1121162105200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42971359 + ... + 42997441.

Almost surely, 2^{1121162105200} is an apocalyptic number.

1121162105200 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 1121162105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380223956888).

1121162105200 is an abundant number, since it is smaller than the sum of its proper divisors (1639285808576).

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

1121162105200 is a wasteful number, since it uses less digits than its factorization.

1121162105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28763 (or 28752 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 1121162105200 its reverse (25012611211), we get a palindrome (1146174716411).

The spelling of 1121162105200 in words is "one trillion, one hundred twenty-one billion, one hundred sixty-two million, one hundred five thousand, two hundred".