2212324000400 has 120 divisors (see below), whose sum is σ = 5409743215584. Its totient is φ = 869248512000.

The previous prime is 2212324000379. The next prime is 2212324000423. The reversal of 2212324000400 is 40004232122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9343475 + ... + 9577325.

Almost surely, 2^{2212324000400} is an apocalyptic number.

2212324000400 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 2212324000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704871607792).

2212324000400 is an abundant number, since it is smaller than the sum of its proper divisors (3197419215184).

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

2212324000400 is a wasteful number, since it uses less digits than its factorization.

2212324000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234289 (or 234278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2212324000400 its reverse (40004232122), we get a palindrome (2252328232522).

The spelling of 2212324000400 in words is "two trillion, two hundred twelve billion, three hundred twenty-four million, four hundred", and thus it is an aban number.