7121260800 has 648 divisors, whose sum is σ = 27908040160. Its totient is φ = 1791590400.

The previous prime is 7121260799. The next prime is 7121260801. The reversal of 7121260800 is 80621217.

It is an interprime number because it is at equal distance from previous prime (7121260799) and next prime (7121260801).

It is a tau number, because it is divible by the number of its divisors (648).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7121260801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29548680 + ... + 29548920.

Almost surely, 2^7121260800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7121260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13954020080).

7121260800 is an abundant number, since it is smaller than the sum of its proper divisors (20786779360).

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

7121260800 is a wasteful number, since it uses less digits than its factorization.

7121260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7121260800 is about 84387.5630647076. The cubic root of 7121260800 is about 1923.9138911703.

The spelling of 7121260800 in words is "seven billion, one hundred twenty-one million, two hundred sixty thousand, eight hundred".