112223711001600 has 2904 divisors, whose sum is σ = 483189751586448. Its totient is φ = 25540912742400.

The previous prime is 112223711001497. The next prime is 112223711001653. The reversal of 112223711001600 is 6100117322211.

112223711001600 is a `hidden beast` number, since 1 + 1 + 2 + 22 + 37 + 1 + 1 + 0 + 0 + 1 + 600 = 666.

It is a super-2 number, since 2×112223711001600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 282679372602 + ... + 282679372998.

Almost surely, 2^{112223711001600} is an apocalyptic number.

112223711001600 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 112223711001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241594875793224).

112223711001600 is an abundant number, since it is smaller than the sum of its proper divisors (370966040584848).

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

112223711001600 is an equidigital number, since it uses as much as digits as its factorization.

112223711001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 112223711001600 its reverse (6100117322211), we get a palindrome (118323828323811).

The spelling of 112223711001600 in words is "one hundred twelve trillion, two hundred twenty-three billion, seven hundred eleven million, one thousand, six hundred".