2212220414400 has 168 divisors, whose sum is σ = 7259603748480. Its totient is φ = 589789117440.

The previous prime is 2212220414333. The next prime is 2212220414419. The reversal of 2212220414400 is 44140222122.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21640207 + ... + 21742193.

Almost surely, 2^{2212220414400} is an apocalyptic number.

2212220414400 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 2212220414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629801874240).

2212220414400 is an abundant number, since it is smaller than the sum of its proper divisors (5047383334080).

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

2212220414400 is a wasteful number, since it uses less digits than its factorization.

2212220414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106531 (or 106516 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2212220414400 its reverse (44140222122), we get a palindrome (2256360636522).

The spelling of 2212220414400 in words is "two trillion, two hundred twelve billion, two hundred twenty million, four hundred fourteen thousand, four hundred".