222120202122 has 384 divisors, whose sum is σ = 621276784128. Its totient is φ = 55800576000.

The previous prime is 222120202067. The next prime is 222120202133. The reversal of 222120202122 is 221202021222.

222120202122 is a `hidden beast` number, since 222 + 120 + 202 + 122 = 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 = 222120202095 and 222120202104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 801877848 + ... + 801878124.

It is an arithmetic number, because the mean of its divisors is an integer number (1617908292).

Almost surely, 2^222120202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310638392064).

222120202122 is an abundant number, since it is smaller than the sum of its proper divisors (399156582006).

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

222120202122 is a wasteful number, since it uses less digits than its factorization.

222120202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 571 counting only the distinct ones).

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

Adding to 222120202122 its reverse (221202021222), we get a palindrome (443322223344).

It can be divided in two parts, 2 and 22120202122, that multiplied together give a palindrome (44240404244).

The spelling of 222120202122 in words is "two hundred twenty-two billion, one hundred twenty million, two hundred two thousand, one hundred twenty-two".