221122000000 has 672 divisors, whose sum is σ = 660999351600. Its totient is φ = 72864000000.

The previous prime is 221121999997. The next prime is 221122000009. The reversal of 221122000000 is 221122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (221122000009) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9613999989 + ... + 9614000011.

Almost surely, 2^221122000000 is an apocalyptic number.

221122000000 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 221122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330499675800).

221122000000 is an abundant number, since it is smaller than the sum of its proper divisors (439877351600).

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

221122000000 is an frugal number, since it uses more digits than its factorization.

221122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221122000000 its reverse (221122), we get a palindrome (221122221122).

221122000000 divided by its reverse (221122) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 221 and 122000000, that added together give a palindrome (122000221).

The spelling of 221122000000 in words is "two hundred twenty-one billion, one hundred twenty-two million", and thus it is an aban number.