2231121103200 has 432 divisors, whose sum is σ = 8614470638592. Its totient is φ = 538876800000.

The previous prime is 2231121103109. The next prime is 2231121103243. The reversal of 2231121103200 is 23011211322.

2231121103200 is a `hidden beast` number, since 2 + 2 + 311 + 21 + 10 + 320 + 0 = 666.

It is a super-3 number, since 3×2231121103200³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21411225 + ... + 21515175.

It is an arithmetic number, because the mean of its divisors is an integer number (19940904256).

Almost surely, 2^{2231121103200} is an apocalyptic number.

2231121103200 is a gapful number since it is divisible by the number (20) 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 2231121103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307235319296).

2231121103200 is an abundant number, since it is smaller than the sum of its proper divisors (6383349535392).

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

2231121103200 is a wasteful number, since it uses less digits than its factorization.

2231121103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104259 (or 104243 counting only the distinct ones).

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

Adding to 2231121103200 its reverse (23011211322), we get a palindrome (2254132314522).

The spelling of 2231121103200 in words is "two trillion, two hundred thirty-one billion, one hundred twenty-one million, one hundred three thousand, two hundred".