223102132000 has 384 divisors, whose sum is σ = 614561665536. Its totient is φ = 78912000000.

The previous prime is 223102131971. The next prime is 223102132003. The reversal of 223102132000 is 231201322.

It is a super-3 number, since 3×223102132000³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (223102132003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271083589 + ... + 271084411.

It is an arithmetic number, because the mean of its divisors is an integer number (1600421004).

Almost surely, 2^223102132000 is an apocalyptic number.

223102132000 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 223102132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307280832768).

223102132000 is an abundant number, since it is smaller than the sum of its proper divisors (391459533536).

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

223102132000 is a wasteful number, since it uses less digits than its factorization.

223102132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 223102132000 its reverse (231201322), we get a palindrome (223333333322).

The spelling of 223102132000 in words is "two hundred twenty-three billion, one hundred two million, one hundred thirty-two thousand".