221911220000 has 90 divisors (see below), whose sum is σ = 546098832279. Its totient is φ = 88737840000.

The previous prime is 221911219997. The next prime is 221911220023. The reversal of 221911220000 is 22119122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 51305874064 + 170605345936 = 226508^2 + 413044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333100.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 66618335 + ... + 66621665.

Almost surely, 2^221911220000 is an apocalyptic number.

221911220000 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 221911220000

221911220000 is an abundant number, since it is smaller than the sum of its proper divisors (324187612279).

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

221911220000 is an frugal number, since it uses more digits than its factorization.

221911220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6692 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 221911220000 its reverse (22119122), we get a palindrome (221933339122).

The spelling of 221911220000 in words is "two hundred twenty-one billion, nine hundred eleven million, two hundred twenty thousand".