112301101033200 has 720 divisors, whose sum is σ = 422421991538976. Its totient is φ = 27517825843200.

The previous prime is 112301101033181. The next prime is 112301101033211. The reversal of 112301101033200 is 2330101103211.

112301101033200 is a `hidden beast` number, since 1 + 1 + 230 + 1 + 10 + 103 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×112301101033200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6992153170 + ... + 6992169230.

Almost surely, 2^{112301101033200} is an apocalyptic number.

112301101033200 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 112301101033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211210995769488).

112301101033200 is an abundant number, since it is smaller than the sum of its proper divisors (310120890505776).

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

112301101033200 is a wasteful number, since it uses less digits than its factorization.

112301101033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18802 (or 18788 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112301101033200 its reverse (2330101103211), we get a palindrome (114631202136411).

The spelling of 112301101033200 in words is "one hundred twelve trillion, three hundred one billion, one hundred one million, thirty-three thousand, two hundred".