112121212120020 has 288 divisors, whose sum is σ = 344278872153216. Its totient is φ = 29533981900800.

The previous prime is 112121212120019. The next prime is 112121212120031. The reversal of 112121212120020 is 20021212121211.

112121212120020 is a `hidden beast` number, since 112 + 1 + 212 + 121 + 200 + 20 = 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 = 112121212119975 and 112121212120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9520348372 + ... + 9520360148.

It is an arithmetic number, because the mean of its divisors is an integer number (1195412750532).

Almost surely, 2^{112121212120020} is an apocalyptic number.

112121212120020 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 112121212120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172139436076608).

112121212120020 is an abundant number, since it is smaller than the sum of its proper divisors (232157660033196).

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

112121212120020 is a wasteful number, since it uses less digits than its factorization.

112121212120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13751 (or 13746 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112121212120020 its reverse (20021212121211), we get a palindrome (132142424241231).

The spelling of 112121212120020 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty thousand, twenty".