112211202022000 has 320 divisors, whose sum is σ = 302910531056640. Its totient is φ = 40006555776000.

The previous prime is 112211202021913. The next prime is 112211202022001. The reversal of 112211202022000 is 220202112211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211202022001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52261639 + ... + 54366361.

It is an arithmetic number, because the mean of its divisors is an integer number (946595409552).

Almost surely, 2^{112211202022000} is an apocalyptic number.

112211202022000 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 112211202022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151455265528320).

112211202022000 is an abundant number, since it is smaller than the sum of its proper divisors (190699329034640).

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

112211202022000 is a wasteful number, since it uses less digits than its factorization.

112211202022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104849 (or 2104833 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112211202022000 its reverse (220202112211), we get a palindrome (112431404134211).

The spelling of 112211202022000 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred two million, twenty-two thousand".