112202322012000 has 960 divisors, whose sum is σ = 449437260400128. Its totient is φ = 27189717120000.

The previous prime is 112202322011977. The next prime is 112202322012037. The reversal of 112202322012000 is 210223202211.

112202322012000 is a `hidden beast` number, since 1 + 1 + 220 + 2 + 322 + 0 + 120 + 0 + 0 = 666.

It is a super-2 number, since 2×112202322012000² (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 159 ways as a sum of consecutive naturals, for example, 12342127455 + ... + 12342136545.

Almost surely, 2^{112202322012000} is an apocalyptic number.

112202322012000 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 112202322012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224718630200064).

112202322012000 is an abundant number, since it is smaller than the sum of its proper divisors (337234938388128).

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

112202322012000 is a wasteful number, since it uses less digits than its factorization.

112202322012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12602 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112202322012000 its reverse (210223202211), we get a palindrome (112412545214211).

The spelling of 112202322012000 in words is "one hundred twelve trillion, two hundred two billion, three hundred twenty-two million, twelve thousand".