71121051120 has 160 divisors (see below), whose sum is σ = 253811755008. Its totient is φ = 16137529344.

The previous prime is 71121051109. The next prime is 71121051151. The reversal of 71121051120 is 2115012117.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 75657 + ... + 384663.

Almost surely, 2^71121051120 is an apocalyptic number.

71121051120 is a gapful number since it is divisible by the number (70) 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 71121051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126905877504).

71121051120 is an abundant number, since it is smaller than the sum of its proper divisors (182690703888).

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

71121051120 is a wasteful number, since it uses less digits than its factorization.

71121051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309167 (or 309161 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 21.

Adding to 71121051120 its reverse (2115012117), we get a palindrome (73236063237).

The spelling of 71121051120 in words is "seventy-one billion, one hundred twenty-one million, fifty-one thousand, one hundred twenty".