221232002000 has 80 divisors (see below), whose sum is σ = 535454010000. Its totient is φ = 88407603200.

The previous prime is 221232001987. The next prime is 221232002011. The reversal of 221232002000 is 200232122.

It can be written as a sum of positive squares in 8 ways, for example, as 36930077584 + 184301924416 = 192172^2 + 429304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045276 + ... + 2150724.

It is an arithmetic number, because the mean of its divisors is an integer number (6693175125).

Almost surely, 2^221232002000 is an apocalyptic number.

221232002000 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 221232002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267727005000).

221232002000 is an abundant number, since it is smaller than the sum of its proper divisors (314222008000).

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

221232002000 is a wasteful number, since it uses less digits than its factorization.

221232002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106521 (or 106505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 221232002000 its reverse (200232122), we get a palindrome (221432234122).

The spelling of 221232002000 in words is "two hundred twenty-one billion, two hundred thirty-two million, two thousand".