220212323100 has 864 divisors, whose sum is σ = 878535770112. Its totient is φ = 44815680000.

The previous prime is 220212323053. The next prime is 220212323101. The reversal of 220212323100 is 1323212022.

220212323100 is a `hidden beast` number, since 220 + 21 + 2 + 323 + 100 = 666.

220212323100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220212323100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212323101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1152944005 + ... + 1152944195.

It is an arithmetic number, because the mean of its divisors is an integer number (1016823808).

Almost surely, 2^220212323100 is an apocalyptic number.

220212323100 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 220212323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439267885056).

220212323100 is an abundant number, since it is smaller than the sum of its proper divisors (658323447012).

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

220212323100 is a wasteful number, since it uses less digits than its factorization.

220212323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

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

Adding to 220212323100 its reverse (1323212022), we get a palindrome (221535535122).

The spelling of 220212323100 in words is "two hundred twenty billion, two hundred twelve million, three hundred twenty-three thousand, one hundred".