1121210133200 has 120 divisors (see below), whose sum is σ = 2744324286528. Its totient is φ = 440107683840.

The previous prime is 1121210133191. The next prime is 1121210133229. The reversal of 1121210133200 is 23310121211.

It is a super-2 number, since 2×1121210133200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6968864 + ... + 7127936.

Almost surely, 2^{1121210133200} is an apocalyptic number.

1121210133200 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 1121210133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372162143264).

1121210133200 is an abundant number, since it is smaller than the sum of its proper divisors (1623114153328).

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

1121210133200 is a wasteful number, since it uses less digits than its factorization.

1121210133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159421 (or 159410 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1121210133200 its reverse (23310121211), we get a palindrome (1144520254411).

The spelling of 1121210133200 in words is "one trillion, one hundred twenty-one billion, two hundred ten million, one hundred thirty-three thousand, two hundred".