7121800 has 48 divisors (see below), whose sum is σ = 18927360. Its totient is φ = 2441280.

The previous prime is 7121773. The next prime is 7121801. The reversal of 7121800 is 81217.

It is not an unprimeable number, because it can be changed into a prime (7121801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1144 + ... + 3943.

It is an arithmetic number, because the mean of its divisors is an integer number (394320).

Almost surely, 2^7121800 is an apocalyptic number.

7121800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7121800 is an abundant number, since it is smaller than the sum of its proper divisors (11805560).

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

7121800 is a wasteful number, since it uses less digits than its factorization.

7121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 7121800 is about 2668.6700807706. The cubic root of 7121800 is about 192.3962447562.

It can be divided in two parts, 7121 and 800, that added together give a square (7921 = 89²).

The spelling of 7121800 in words is "seven million, one hundred twenty-one thousand, eight hundred".