2220404312000 has 224 divisors, whose sum is σ = 6290221242240. Its totient is φ = 760573747200.

The previous prime is 2220404311997. The next prime is 2220404312059. The reversal of 2220404312000 is 2134040222.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62086124 + ... + 62121876.

Almost surely, 2^{2220404312000} is an apocalyptic number.

2220404312000 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 2220404312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145110621120).

2220404312000 is an abundant number, since it is smaller than the sum of its proper divisors (4069816930240).

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

2220404312000 is a wasteful number, since it uses less digits than its factorization.

2220404312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36896 (or 36876 counting only the distinct ones).

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

Adding to 2220404312000 its reverse (2134040222), we get a palindrome (2222538352222).

The spelling of 2220404312000 in words is "two trillion, two hundred twenty billion, four hundred four million, three hundred twelve thousand".