21122002211200 has 192 divisors, whose sum is σ = 57443620806000. Its totient is φ = 7610261299200.

The previous prime is 21122002211197. The next prime is 21122002211213. The reversal of 21122002211200 is 211220022112.

It is a happy number.

It is a super-2 number, since 2×21122002211200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1084246 + ... + 6589354.

Almost surely, 2^{21122002211200} is an apocalyptic number.

21122002211200 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 21122002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28721810403000).

21122002211200 is an abundant number, since it is smaller than the sum of its proper divisors (36321618594800).

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

21122002211200 is a wasteful number, since it uses less digits than its factorization.

21122002211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505253 (or 5505236 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21122002211200 its reverse (211220022112), we get a palindrome (21333222233312).

21122002211200 divided by its reverse (211220022112) gives a square (100 = 10²).

The spelling of 21122002211200 in words is "twenty-one trillion, one hundred twenty-two billion, two million, two hundred eleven thousand, two hundred".