22002112112000 has 256 divisors, whose sum is σ = 56995225896960. Its totient is φ = 8437328640000.

The previous prime is 22002112111999. The next prime is 22002112112003. The reversal of 22002112112000 is 21121120022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002112112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52864715 + ... + 53279285.

It is an arithmetic number, because the mean of its divisors is an integer number (222637601160).

Almost surely, 2^{22002112112000} is an apocalyptic number.

22002112112000 is a gapful number since it is divisible by the number (20) 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 22002112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28497612948480).

22002112112000 is an abundant number, since it is smaller than the sum of its proper divisors (34993113784960).

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

22002112112000 is a wasteful number, since it uses less digits than its factorization.

22002112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414738 (or 414716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22002112112000 its reverse (21121120022), we get a palindrome (22023233232022).

It can be divided in two parts, 2 and 2002112112000, that added together give a palindrome (2002112112002).

The spelling of 22002112112000 in words is "twenty-two trillion, two billion, one hundred twelve million, one hundred twelve thousand".