7121876731200 has 2016 divisors, whose sum is σ = 33282029813760. Its totient is φ = 1400448614400.

The previous prime is 7121876731181. The next prime is 7121876731213. The reversal of 7121876731200 is 21376781217.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×7121876731200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2473731361 + ... + 2473734239.

It is an arithmetic number, because the mean of its divisors is an integer number (16508943360).

Almost surely, 2^{7121876731200} is an apocalyptic number.

7121876731200 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 7121876731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641014906880).

7121876731200 is an abundant number, since it is smaller than the sum of its proper divisors (26160153082560).

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

7121876731200 is a wasteful number, since it uses less digits than its factorization.

7121876731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 7121876731200 in words is "seven trillion, one hundred twenty-one billion, eight hundred seventy-six million, seven hundred thirty-one thousand, two hundred".