7121313763200 has 1536 divisors, whose sum is σ = 33963826176000. Its totient is φ = 1414108938240.

The previous prime is 7121313763177. The next prime is 7121313763229. The reversal of 7121313763200 is 23673131217.

7121313763200 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 3 + 13 + 7 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 133634161 + ... + 133687439.

It is an arithmetic number, because the mean of its divisors is an integer number (22111866000).

Almost surely, 2^{7121313763200} is an apocalyptic number.

7121313763200 is a gapful number since it is divisible by the number (70) 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 7121313763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16981913088000).

7121313763200 is an abundant number, since it is smaller than the sum of its proper divisors (26842512412800).

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

7121313763200 is a wasteful number, since it uses less digits than its factorization.

7121313763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53349 (or 53326 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 7121313763200 its reverse (23673131217), we get a palindrome (7144986894417).

The spelling of 7121313763200 in words is "seven trillion, one hundred twenty-one billion, three hundred thirteen million, seven hundred sixty-three thousand, two hundred".