221212022202000 has 480 divisors, whose sum is σ = 787180264247520. Its totient is φ = 57886385356800.

The previous prime is 221212022201999. The next prime is 221212022202001. The reversal of 221212022202000 is 202220212122.

221212022202000 is a `hidden beast` number, since 2 + 21 + 21 + 202 + 220 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221212022201999) and next prime (221212022202001).

It can be written as a sum of positive squares in 16 ways, for example, as 101963787634944 + 119248234567056 = 10097712^2 + 10920084^2 .

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

It is not an unprimeable number, because it can be changed into a prime (221212022202001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258430716 + ... + 259285284.

It is an arithmetic number, because the mean of its divisors is an integer number (1639958883849).

Almost surely, 2^{221212022202000} is an apocalyptic number.

221212022202000 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 221212022202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393590132123760).

221212022202000 is an abundant number, since it is smaller than the sum of its proper divisors (565968242045520).

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

221212022202000 is a wasteful number, since it uses less digits than its factorization.

221212022202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854868 (or 854849 counting only the distinct ones).

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

Adding to 221212022202000 its reverse (202220212122), we get a palindrome (221414242414122).

The spelling of 221212022202000 in words is "two hundred twenty-one trillion, two hundred twelve billion, twenty-two million, two hundred two thousand".