21202212222000 has 240 divisors, whose sum is σ = 77271924869568. Its totient is φ = 5408100403200.

The previous prime is 21202212221963. The next prime is 21202212222017. The reversal of 21202212222000 is 22221220212.

21202212222000 is a `hidden beast` number, since 2 + 1 + 20 + 221 + 222 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×21202212222000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25192537 + ... + 26020536.

Almost surely, 2^{21202212222000} is an apocalyptic number.

21202212222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202212222000 is an abundant number, since it is smaller than the sum of its proper divisors (56069712647568).

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

21202212222000 is a wasteful number, since it uses less digits than its factorization.

21202212222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51213125 (or 51213106 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21202212222000 its reverse (22221220212), we get a palindrome (21224433442212).

The spelling of 21202212222000 in words is "twenty-one trillion, two hundred two billion, two hundred twelve million, two hundred twenty-two thousand".