220352132000 has 576 divisors, whose sum is σ = 732575031552. Its totient is φ = 63385344000.

The previous prime is 220352131973. The next prime is 220352132003. The reversal of 220352132000 is 231253022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (220352132003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44041499 + ... + 44046501.

It is an arithmetic number, because the mean of its divisors is an integer number (1271831652).

Almost surely, 2^220352132000 is an apocalyptic number.

220352132000 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 220352132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366287515776).

220352132000 is an abundant number, since it is smaller than the sum of its proper divisors (512222899552).

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

220352132000 is a wasteful number, since it uses less digits than its factorization.

220352132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 220352132000 its reverse (231253022), we get a palindrome (220583385022).

The spelling of 220352132000 in words is "two hundred twenty billion, three hundred fifty-two million, one hundred thirty-two thousand".