221122302000 has 160 divisors (see below), whose sum is σ = 713136213504. Its totient is φ = 58946272000.

The previous prime is 221122301989. The next prime is 221122302007. The reversal of 221122302000 is 203221122.

It is a happy number.

221122302000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (221122302007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31022437 + ... + 31029563.

Almost surely, 2^221122302000 is an apocalyptic number.

221122302000 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 221122302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356568106752).

221122302000 is an abundant number, since it is smaller than the sum of its proper divisors (492013911504).

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

221122302000 is a wasteful number, since it uses less digits than its factorization.

221122302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12324 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221122302000 its reverse (203221122), we get a palindrome (221325523122).

The spelling of 221122302000 in words is "two hundred twenty-one billion, one hundred twenty-two million, three hundred two thousand".