7121114856 has 96 divisors (see below), whose sum is σ = 19452069000. Its totient is φ = 2353397760.

The previous prime is 7121114837. The next prime is 7121114863. The reversal of 7121114856 is 6584111217.

It can be written as a sum of positive squares in 4 ways, for example, as 3737365956 + 3383748900 = 61134^2 + 58170^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 7121114856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5850760 + ... + 5851976.

Almost surely, 2^7121114856 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 7121114856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726034500).

7121114856 is an abundant number, since it is smaller than the sum of its proper divisors (12330954144).

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

7121114856 is a wasteful number, since it uses less digits than its factorization.

7121114856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1852 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 7121114856 is about 84386.6983356974. The cubic root of 7121114856 is about 1923.9007481041.

The spelling of 7121114856 in words is "seven billion, one hundred twenty-one million, one hundred fourteen thousand, eight hundred fifty-six".