112619965248000 has 2560 divisors, whose sum is σ = 503286930432000. Its totient is φ = 24250967654400.

The previous prime is 112619965247947. The next prime is 112619965248053. The reversal of 112619965248000 is 842569916211.

112619965248000 is a `hidden beast` number, since 1 + 1 + 26 + 1 + 9 + 96 + 52 + 480 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112619965247947) and next prime (112619965248053).

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44356030731 + ... + 44356033269.

It is an arithmetic number, because the mean of its divisors is an integer number (196596457200).

Almost surely, 2^{112619965248000} is an apocalyptic number.

112619965248000 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 112619965248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251643465216000).

112619965248000 is an abundant number, since it is smaller than the sum of its proper divisors (390666965184000).

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

112619965248000 is a wasteful number, since it uses less digits than its factorization.

112619965248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 112619965248000 in words is "one hundred twelve trillion, six hundred nineteen billion, nine hundred sixty-five million, two hundred forty-eight thousand".