1002002144220 has 288 divisors, whose sum is σ = 3802338408960. Its totient is φ = 207496788480.

The previous prime is 1002002144123. The next prime is 1002002144263. The reversal of 1002002144220 is 224412002001.

1002002144220 is a `hidden beast` number, since 1 + 0 + 0 + 200 + 2 + 1 + 442 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002002144193 and 1002002144202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3937611 + ... + 4184349.

It is an arithmetic number, because the mean of its divisors is an integer number (13202563920).

Almost surely, 2^{1002002144220} is an apocalyptic number.

1002002144220 is a gapful number since it is divisible by the number (10) 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 1002002144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901169204480).

1002002144220 is an abundant number, since it is smaller than the sum of its proper divisors (2800336264740).

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

1002002144220 is a wasteful number, since it uses less digits than its factorization.

1002002144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247065 (or 247060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1002002144220 its reverse (224412002001), we get a palindrome (1226414146221).

The spelling of 1002002144220 in words is "one trillion, two billion, two million, one hundred forty-four thousand, two hundred twenty".