222002212002120 has 768 divisors, whose sum is σ = 839408064768000. Its totient is φ = 50319371059200.

The previous prime is 222002212002119. The next prime is 222002212002121. The reversal of 222002212002120 is 21200212200222.

222002212002120 is a `hidden beast` number, since 2 + 2 + 200 + 221 + 200 + 21 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (222002212002119) and next prime (222002212002121).

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 = 222002212002093 and 222002212002102.

It is not an unprimeable number, because it can be changed into a prime (222002212002121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2620040155 + ... + 2620124885.

It is an arithmetic number, because the mean of its divisors is an integer number (1092979251000).

Almost surely, 2^{222002212002120} is an apocalyptic number.

222002212002120 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 222002212002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419704032384000).

222002212002120 is an abundant number, since it is smaller than the sum of its proper divisors (617405852765880).

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

222002212002120 is a wasteful number, since it uses less digits than its factorization.

222002212002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85234 (or 85227 counting only the distinct ones).

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

Adding to 222002212002120 its reverse (21200212200222), we get a palindrome (243202424202342).

The spelling of 222002212002120 in words is "two hundred twenty-two trillion, two billion, two hundred twelve million, two thousand, one hundred twenty".