32214211020 has 144 divisors (see below), whose sum is σ = 99443635200. Its totient is φ = 8438976000.

The previous prime is 32214211009. The next prime is 32214211037. The reversal of 32214211020 is 2011241223.

It is a happy number.

32214211020 is a `hidden beast` number, since 3 + 221 + 421 + 1 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32214210984 and 32214211002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12636706 + ... + 12639254.

It is an arithmetic number, because the mean of its divisors is an integer number (690580800).

Almost surely, 2^32214211020 is an apocalyptic number.

32214211020 is a gapful number since it is divisible by the number (30) 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 32214211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49721817600).

32214211020 is an abundant number, since it is smaller than the sum of its proper divisors (67229424180).

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

32214211020 is a wasteful number, since it uses less digits than its factorization.

32214211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3771 counting only the distinct ones).

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

Adding to 32214211020 its reverse (2011241223), we get a palindrome (34225452243).

The spelling of 32214211020 in words is "thirty-two billion, two hundred fourteen million, two hundred eleven thousand, twenty".