220312032000 has 576 divisors, whose sum is σ = 771212123136. Its totient is φ = 55635148800.

The previous prime is 220312031899. The next prime is 220312032013. The reversal of 220312032000 is 230213022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249503559 + ... + 249504441.

It is an arithmetic number, because the mean of its divisors is an integer number (1338909936).

Almost surely, 2^220312032000 is an apocalyptic number.

220312032000 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 220312032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385606061568).

220312032000 is an abundant number, since it is smaller than the sum of its proper divisors (550900091136).

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

220312032000 is a wasteful number, since it uses less digits than its factorization.

220312032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 220312032000 its reverse (230213022), we get a palindrome (220542245022).

The spelling of 220312032000 in words is "two hundred twenty billion, three hundred twelve million, thirty-two thousand".