112214144000 has 704 divisors, whose sum is σ = 347637588480. Its totient is φ = 35271475200.

The previous prime is 112214143997. The next prime is 112214144023. The reversal of 112214144000 is 441412211.

It is a super-2 number, since 2×112214144000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807295931 + ... + 807296069.

Almost surely, 2^112214144000 is an apocalyptic number.

112214144000 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 112214144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173818794240).

112214144000 is an abundant number, since it is smaller than the sum of its proper divisors (235423444480).

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

112214144000 is a wasteful number, since it uses less digits than its factorization.

112214144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112214144000 its reverse (441412211), we get a palindrome (112655556211).

The spelling of 112214144000 in words is "one hundred twelve billion, two hundred fourteen million, one hundred forty-four thousand".