221132212020000 has 360 divisors, whose sum is σ = 786544285310784. Its totient is φ = 58913065152000.

The previous prime is 221132212019993. The next prime is 221132212020001. The reversal of 221132212020000 is 20212231122.

221132212020000 is a `hidden beast` number, since 2 + 21 + 1 + 322 + 120 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (221132212020001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 190762149 + ... + 191917851.

Almost surely, 2^{221132212020000} is an apocalyptic number.

221132212020000 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 221132212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393272142655392).

221132212020000 is an abundant number, since it is smaller than the sum of its proper divisors (565412073290784).

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

221132212020000 is a wasteful number, since it uses less digits than its factorization.

221132212020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156802 (or 1156776 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221132212020000 its reverse (20212231122), we get a palindrome (221152424251122).

The spelling of 221132212020000 in words is "two hundred twenty-one trillion, one hundred thirty-two billion, two hundred twelve million, twenty thousand".