3200012213220 has 288 divisors, whose sum is σ = 10176812126208. Its totient is φ = 843981939072.

The previous prime is 3200012213219. The next prime is 3200012213243. The reversal of 3200012213220 is 223122100023.

3200012213220 is a `hidden beast` number, since 320 + 0 + 0 + 1 + 2 + 21 + 322 + 0 = 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 = 3200012213193 and 3200012213202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444010857 + ... + 444018063.

It is an arithmetic number, because the mean of its divisors is an integer number (35336153216).

Almost surely, 2^{3200012213220} is an apocalyptic number.

3200012213220 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 3200012213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088406063104).

3200012213220 is an abundant number, since it is smaller than the sum of its proper divisors (6976799912988).

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

3200012213220 is a wasteful number, since it uses less digits than its factorization.

3200012213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8221 (or 8207 counting only the distinct ones).

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

Adding to 3200012213220 its reverse (223122100023), we get a palindrome (3423134313243).

The spelling of 3200012213220 in words is "three trillion, two hundred billion, twelve million, two hundred thirteen thousand, two hundred twenty".