221212221122000 has 40 divisors (see below), whose sum is σ = 534891150677832. Its totient is φ = 88484888448000.

The previous prime is 221212221121967. The next prime is 221212221122083. The reversal of 221212221122000 is 221122212122.

221212221122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5921513429056 + 215290707692944 = 2433416^2 + 14672788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×221212221122000³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55303053281 + ... + 55303057280.

Almost surely, 2^{221212221122000} is an apocalyptic number.

221212221122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212221122000 is an abundant number, since it is smaller than the sum of its proper divisors (313678929555832).

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

221212221122000 is a wasteful number, since it uses less digits than its factorization.

221212221122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110606110584 (or 110606110568 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221212221122000 its reverse (221122212122), we get a palindrome (221433343334122).

The spelling of 221212221122000 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-two thousand".