221022000120012 has 384 divisors, whose sum is σ = 651477002803200. Its totient is φ = 56759176396800.

The previous prime is 221022000120001. The next prime is 221022000120023. The reversal of 221022000120012 is 210021000220122.

It is an interprime number because it is at equal distance from previous prime (221022000120001) and next prime (221022000120023).

It is a junction number, because it is equal to n+sod(n) for n = 221022000119973 and 221022000120000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89882878039 + ... + 89882880497.

It is an arithmetic number, because the mean of its divisors is an integer number (1696554694800).

Almost surely, 2^{221022000120012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221022000120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325738501401600).

221022000120012 is an abundant number, since it is smaller than the sum of its proper divisors (430455002683188).

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

221022000120012 is a wasteful number, since it uses less digits than its factorization.

221022000120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221022000120012 its reverse (210021000220122), we get a palindrome (431043000340134).

The spelling of 221022000120012 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty thousand, twelve".