112920353280 has 960 divisors, whose sum is σ = 465741619200. Its totient is φ = 24747835392.

The previous prime is 112920353233. The next prime is 112920353303. The reversal of 112920353280 is 82353029211.

112920353280 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 20 + 353 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 757854646 + ... + 757854794.

It is an arithmetic number, because the mean of its divisors is an integer number (485147520).

Almost surely, 2^112920353280 is an apocalyptic number.

112920353280 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 112920353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232870809600).

112920353280 is an abundant number, since it is smaller than the sum of its proper divisors (352821265920).

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

112920353280 is a wasteful number, since it uses less digits than its factorization.

112920353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 112920353280 in words is "one hundred twelve billion, nine hundred twenty million, three hundred fifty-three thousand, two hundred eighty".