112213201120020 has 1296 divisors, whose sum is σ = 480374595163008. Its totient is φ = 20941584168960.

The previous prime is 112213201119839. The next prime is 112213201120121. The reversal of 112213201120020 is 20021102312211.

112213201120020 is a `hidden beast` number, since 1 + 1 + 221 + 320 + 1 + 120 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112213201119975 and 112213201120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 606573577 + ... + 606758543.

It is an arithmetic number, because the mean of its divisors is an integer number (370659409848).

Almost surely, 2^{112213201120020} is an apocalyptic number.

112213201120020 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 112213201120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240187297581504).

112213201120020 is an abundant number, since it is smaller than the sum of its proper divisors (368161394042988).

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

112213201120020 is a wasteful number, since it uses less digits than its factorization.

112213201120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185070 (or 185045 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112213201120020 its reverse (20021102312211), we get a palindrome (132234303432231).

The spelling of 112213201120020 in words is "one hundred twelve trillion, two hundred thirteen billion, two hundred one million, one hundred twenty thousand, twenty".