2220142022000 has 320 divisors, whose sum is σ = 6407133917184. Its totient is φ = 727507123200.

The previous prime is 2220142021991. The next prime is 2220142022081. The reversal of 2220142022000 is 2202410222.

It is a super-3 number, since 3×2220142022000³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2220142022000.

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 63 ways as a sum of consecutive naturals, for example, 594732134 + ... + 594735866.

Almost surely, 2^{2220142022000} is an apocalyptic number.

2220142022000 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 2220142022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203566958592).

2220142022000 is an abundant number, since it is smaller than the sum of its proper divisors (4186991895184).

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

2220142022000 is a wasteful number, since it uses less digits than its factorization.

2220142022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 2220142022000 its reverse (2202410222), we get a palindrome (2222344432222).

The spelling of 2220142022000 in words is "two trillion, two hundred twenty billion, one hundred forty-two million, twenty-two thousand".