112819765248000 has 1600 divisors, whose sum is σ = 429664310103600. Its totient is φ = 29444014080000.

The previous prime is 112819765247971. The next prime is 112819765248019. The reversal of 112819765248000 is 842567918211.

112819765248000 is a `hidden beast` number, since 1 + 1 + 28 + 1 + 97 + 6 + 52 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39911665434624 + 72908099813376 = 6317568^2 + 8538624^2 .

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×112819765248000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 281346047800 + ... + 281346048200.

Almost surely, 2^{112819765248000} is an apocalyptic number.

112819765248000 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 112819765248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214832155051800).

112819765248000 is an abundant number, since it is smaller than the sum of its proper divisors (316844544855600).

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

112819765248000 is an frugal number, since it uses more digits than its factorization.

112819765248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 112819765248000 in words is "one hundred twelve trillion, eight hundred nineteen billion, seven hundred sixty-five million, two hundred forty-eight thousand".