2212135200 has 864 divisors, whose sum is σ = 9476393472. Its totient is φ = 479232000.

The previous prime is 2212135199. The next prime is 2212135201. The reversal of 2212135200 is 25312122.

2212135200 is a `hidden beast` number, since 22 + 121 + 3 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2212135199) and next prime (2212135201).

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

It is not an unprimeable number, because it can be changed into a prime (2212135201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41738374 + ... + 41738426.

It is an arithmetic number, because the mean of its divisors is an integer number (10968048).

Almost surely, 2^2212135200 is an apocalyptic number.

2212135200 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 2212135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738196736).

2212135200 is an abundant number, since it is smaller than the sum of its proper divisors (7264258272).

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

2212135200 is a wasteful number, since it uses less digits than its factorization.

2212135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2212135200 is about 47033.3413654612. The cubic root of 2212135200 is about 1302.9784175132.

Adding to 2212135200 its reverse (25312122), we get a palindrome (2237447322).

The spelling of 2212135200 in words is "two billion, two hundred twelve million, one hundred thirty-five thousand, two hundred".