21030122131200 has 648 divisors, whose sum is σ = 92538402142368. Its totient is φ = 4437123563520.

The previous prime is 21030122131153. The next prime is 21030122131219. The reversal of 21030122131200 is 213122103012.

21030122131200 is a `hidden beast` number, since 2 + 10 + 301 + 22 + 131 + 200 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 3235522 + ... + 7247678.

Almost surely, 2^{21030122131200} is an apocalyptic number.

21030122131200 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 21030122131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46269201071184).

21030122131200 is an abundant number, since it is smaller than the sum of its proper divisors (71508280011168).

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

21030122131200 is a wasteful number, since it uses less digits than its factorization.

21030122131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012209 (or 4012187 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21030122131200 its reverse (213122103012), we get a palindrome (21243244234212).

The spelling of 21030122131200 in words is "twenty-one trillion, thirty billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred".