112012221020000 has 480 divisors, whose sum is σ = 327794007340800. Its totient is φ = 36852205824000.

The previous prime is 112012221019927. The next prime is 112012221020027. The reversal of 112012221020000 is 20122210211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 661695371 + ... + 661864629.

It is an arithmetic number, because the mean of its divisors is an integer number (682904181960).

Almost surely, 2^{112012221020000} is an apocalyptic number.

112012221020000 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 112012221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163897003670400).

112012221020000 is an abundant number, since it is smaller than the sum of its proper divisors (215781786320800).

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

112012221020000 is a wasteful number, since it uses less digits than its factorization.

112012221020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169488 (or 169465 counting only the distinct ones).

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

Adding to 112012221020000 its reverse (20122210211), we get a palindrome (112032343230211).

The spelling of 112012221020000 in words is "one hundred twelve trillion, twelve billion, two hundred twenty-one million, twenty thousand".