2002222133120 has 64 divisors (see below), whose sum is σ = 5221704331440. Its totient is φ = 728080773120.

The previous prime is 2002222133101. The next prime is 2002222133123. The reversal of 2002222133120 is 213312222002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×2002222133120⁴ (a number of 50 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002222133092 and 2002222133101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002222133123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142196237 + ... + 142210316.

Almost surely, 2^{2002222133120} is an apocalyptic number.

2002222133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002222133120 is an abundant number, since it is smaller than the sum of its proper divisors (3219482198320).

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

2002222133120 is a wasteful number, since it uses less digits than its factorization.

2002222133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284406583 (or 284406571 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2002222133120 its reverse (213312222002), we get a palindrome (2215534355122).

The spelling of 2002222133120 in words is "two trillion, two billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".