2121123111200 has 36 divisors (see below), whose sum is σ = 5178191797170. Its totient is φ = 848449244160.

The previous prime is 2121123111197. The next prime is 2121123111203. The reversal of 2121123111200 is 21113211212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121123111197) and next prime (2121123111203).

It can be written as a sum of positive squares in 3 ways, for example, as 1693527438736 + 427595672464 = 1301356^2 + 653908^2 .

It is not an unprimeable number, because it can be changed into a prime (2121123111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1325701145 + ... + 1325702744.

Almost surely, 2^{2121123111200} is an apocalyptic number.

2121123111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121123111200 is an abundant number, since it is smaller than the sum of its proper divisors (3057068685970).

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

2121123111200 is a wasteful number, since it uses less digits than its factorization.

2121123111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651403909 (or 2651403896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2121123111200 its reverse (21113211212), we get a palindrome (2142236322412).

The spelling of 2121123111200 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-three million, one hundred eleven thousand, two hundred".