112205898686520 has 1536 divisors, whose sum is σ = 425869996032000. Its totient is φ = 25432302551040.

The previous prime is 112205898686507. The next prime is 112205898686569. The reversal of 112205898686520 is 25686898502211.

It is a happy number.

112205898686520 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 5 + 8 + 9 + 8 + 6 + 86 + 520 = 666.

It is a super-2 number, since 2×112205898686520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 117739662364 + ... + 117739663316.

It is an arithmetic number, because the mean of its divisors is an integer number (277259112000).

Almost surely, 2^{112205898686520} is an apocalyptic number.

112205898686520 is a gapful number since it is divisible by the number (10) 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 112205898686520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212934998016000).

112205898686520 is an abundant number, since it is smaller than the sum of its proper divisors (313664097345480).

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

112205898686520 is a wasteful number, since it uses less digits than its factorization.

112205898686520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 112205898686520 in words is "one hundred twelve trillion, two hundred five billion, eight hundred ninety-eight million, six hundred eighty-six thousand, five hundred twenty".