112121000211200 has 432 divisors, whose sum is σ = 296283268844640. Its totient is φ = 41860186767360.

The previous prime is 112121000211169. The next prime is 112121000211211. The reversal of 112121000211200 is 2112000121211.

It is a super-3 number, since 3×112121000211200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15622262012 + ... + 15622269188.

Almost surely, 2^{112121000211200} is an apocalyptic number.

112121000211200 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 112121000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148141634422320).

112121000211200 is an abundant number, since it is smaller than the sum of its proper divisors (184162268633440).

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

112121000211200 is a wasteful number, since it uses less digits than its factorization.

112121000211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112121000211200 its reverse (2112000121211), we get a palindrome (114233000332411).

The spelling of 112121000211200 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred eleven thousand, two hundred".