113212120000 has 280 divisors, whose sum is σ = 328329600896. Its totient is φ = 37908864000.

The previous prime is 113212119983. The next prime is 113212120031. The reversal of 113212120000 is 21212311.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×113212120000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12035299 + ... + 12044701.

Almost surely, 2^113212120000 is an apocalyptic number.

113212120000 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 113212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164164800448).

113212120000 is an abundant number, since it is smaller than the sum of its proper divisors (215117480896).

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

113212120000 is an frugal number, since it uses more digits than its factorization.

113212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 113212120000 its reverse (21212311), we get a palindrome (113233332311).

The spelling of 113212120000 in words is "one hundred thirteen billion, two hundred twelve million, one hundred twenty thousand".