112277665500 has 1536 divisors, whose sum is σ = 471150231552. Its totient is φ = 20030976000.

The previous prime is 112277665481. The next prime is 112277665519. The reversal of 112277665500 is 5566772211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112277665481) and next prime (112277665519).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 10.

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 511 ways as a sum of consecutive naturals, for example, 2388886477 + ... + 2388886523.

It is an arithmetic number, because the mean of its divisors is an integer number (306738432).

Almost surely, 2^112277665500 is an apocalyptic number.

112277665500 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 112277665500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235575115776).

112277665500 is an abundant number, since it is smaller than the sum of its proper divisors (358872566052).

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

112277665500 is a wasteful number, since it uses less digits than its factorization.

112277665500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

It can be divided in two parts, 112277 and 665500, that added together give a palindrome (777777).

The spelling of 112277665500 in words is "one hundred twelve billion, two hundred seventy-seven million, six hundred sixty-five thousand, five hundred".