220212102330 has 240 divisors, whose sum is σ = 673300865160. Its totient is φ = 51543233280.

The previous prime is 220212102277. The next prime is 220212102337. The reversal of 220212102330 is 33201212022.

220212102330 is a `hidden beast` number, since 2 + 20 + 212 + 102 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208201476681 + 12010625649 = 456291^2 + 109593^2 .

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 (220212102337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2803552 + ... + 2881028.

Almost surely, 2^220212102330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220212102330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336650432580).

220212102330 is an abundant number, since it is smaller than the sum of its proper divisors (453088762830).

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

220212102330 is a wasteful number, since it uses less digits than its factorization.

220212102330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77547 (or 77527 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220212102330 its reverse (33201212022), we get a palindrome (253413314352).

The spelling of 220212102330 in words is "two hundred twenty billion, two hundred twelve million, one hundred two thousand, three hundred thirty".