7121000234304 has 672 divisors, whose sum is σ = 24659768165760. Its totient is φ = 1940491468800.

The previous prime is 7121000234281. The next prime is 7121000234321. The reversal of 7121000234304 is 4034320001217.

It is a happy number.

7121000234304 is a `hidden beast` number, since 7 + 121 + 0 + 0 + 0 + 234 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182603032 + ... + 182642024.

It is an arithmetic number, because the mean of its divisors is an integer number (36696083580).

Almost surely, 2^{7121000234304} is an apocalyptic number.

7121000234304 is a gapful number since it is divisible by the number (74) 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 7121000234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329884082880).

7121000234304 is an abundant number, since it is smaller than the sum of its proper divisors (17538767931456).

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

7121000234304 is a wasteful number, since it uses less digits than its factorization.

7121000234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39119 (or 39106 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 7121000234304 in words is "seven trillion, one hundred twenty-one billion, two hundred thirty-four thousand, three hundred four".