2212434121200 has 240 divisors, whose sum is σ = 7506344491776. Its totient is φ = 555108249600.

The previous prime is 2212434121199. The next prime is 2212434121211. The reversal of 2212434121200 is 21214342122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 75281709 + ... + 75311091.

Almost surely, 2^{2212434121200} is an apocalyptic number.

2212434121200 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 2212434121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753172245888).

2212434121200 is an abundant number, since it is smaller than the sum of its proper divisors (5293910370576).

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

2212434121200 is a wasteful number, since it uses less digits than its factorization.

2212434121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33112 (or 33101 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2212434121200 its reverse (21214342122), we get a palindrome (2233648463322).

The spelling of 2212434121200 in words is "two trillion, two hundred twelve billion, four hundred thirty-four million, one hundred twenty-one thousand, two hundred".