71121111930 has 96 divisors (see below), whose sum is σ = 201817744128. Its totient is φ = 17233584000.

The previous prime is 71121111907. The next prime is 71121111931. The reversal of 71121111930 is 3911112117.

It is a super-3 number, since 3×71121111930³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71121111894 and 71121111903.

It is not an unprimeable number, because it can be changed into a prime (71121111931) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2312212 + ... + 2342768.

It is an arithmetic number, because the mean of its divisors is an integer number (2102268168).

Almost surely, 2^71121111930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71121111930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100908872064).

71121111930 is an abundant number, since it is smaller than the sum of its proper divisors (130696632198).

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

71121111930 is a wasteful number, since it uses less digits than its factorization.

71121111930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32932 (or 32929 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 27.

The spelling of 71121111930 in words is "seventy-one billion, one hundred twenty-one million, one hundred eleven thousand, nine hundred thirty".