21122122001200 has 120 divisors (see below), whose sum is σ = 55603037160000. Its totient is φ = 7646935276800.

The previous prime is 21122122001129. The next prime is 21122122001257. The reversal of 21122122001200 is 210022122112.

It is a happy number.

It is a super-2 number, since 2×21122122001200² (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 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, 9574950 + ... + 11572549.

It is an arithmetic number, because the mean of its divisors is an integer number (463358643000).

Almost surely, 2^{21122122001200} is an apocalyptic number.

21122122001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122122001200 is an abundant number, since it is smaller than the sum of its proper divisors (34480915158800).

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

21122122001200 is a wasteful number, since it uses less digits than its factorization.

21122122001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21147755 (or 21147744 counting only the distinct ones).

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

Adding to 21122122001200 its reverse (210022122112), we get a palindrome (21332144123312).

The spelling of 21122122001200 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one thousand, two hundred".