213221111220000 has 1080 divisors, whose sum is σ = 831707084292084. Its totient is φ = 51765682176000.

The previous prime is 213221111219947. The next prime is 213221111220053. The reversal of 213221111220000 is 22111122312.

213221111220000 is a `hidden beast` number, since 21 + 322 + 11 + 112 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213221111219947) and next prime (213221111220053).

It can be written as a sum of positive squares in 30 ways, for example, as 209825538446736 + 3395572773264 = 14485356^2 + 1842708^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2220611992 + ... + 2220708008.

Almost surely, 2^{213221111220000} is an apocalyptic number.

213221111220000 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 213221111220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415853542146042).

213221111220000 is an abundant number, since it is smaller than the sum of its proper divisors (618485973072084).

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

213221111220000 is a wasteful number, since it uses less digits than its factorization.

213221111220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96152 (or 96113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213221111220000 its reverse (22111122312), we get a palindrome (213243222342312).

The spelling of 213221111220000 in words is "two hundred thirteen trillion, two hundred twenty-one billion, one hundred eleven million, two hundred twenty thousand".