1121201332200 has 144 divisors (see below), whose sum is σ = 3773609892780. Its totient is φ = 298332564480.

The previous prime is 1121201332133. The next prime is 1121201332211. The reversal of 1121201332200 is 22331021211.

1121201332200 is a `hidden beast` number, since 1 + 12 + 120 + 1 + 332 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 342779804676 + 778421527524 = 585474^2 + 882282^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141102 + ... + 1504098.

Almost surely, 2^{1121201332200} is an apocalyptic number.

1121201332200 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 1121201332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886804946390).

1121201332200 is an abundant number, since it is smaller than the sum of its proper divisors (2652408560580).

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

1121201332200 is a wasteful number, since it uses less digits than its factorization.

1121201332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363476 (or 1363464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1121201332200 its reverse (22331021211), we get a palindrome (1143532353411).

The spelling of 1121201332200 in words is "one trillion, one hundred twenty-one billion, two hundred one million, three hundred thirty-two thousand, two hundred".