112212021101220 has 288 divisors, whose sum is σ = 364802814125568. Its totient is φ = 27846483388416.

The previous prime is 112212021101137. The next prime is 112212021101221. The reversal of 112212021101220 is 22101120212211.

112212021101220 is a `hidden beast` number, since 11 + 221 + 2 + 0 + 211 + 0 + 1 + 220 = 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 = 112212021101193 and 112212021101202.

It is not an unprimeable number, because it can be changed into a prime (112212021101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3125926312 + ... + 3125962208.

It is an arithmetic number, because the mean of its divisors is an integer number (1266676437936).

Almost surely, 2^{112212021101220} is an apocalyptic number.

112212021101220 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 112212021101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182401407062784).

112212021101220 is an abundant number, since it is smaller than the sum of its proper divisors (252590793024348).

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

112212021101220 is a wasteful number, since it uses less digits than its factorization.

112212021101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56379 (or 56374 counting only the distinct ones).

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

Adding to 112212021101220 its reverse (22101120212211), we get a palindrome (134313141313431).

The spelling of 112212021101220 in words is "one hundred twelve trillion, two hundred twelve billion, twenty-one million, one hundred one thousand, two hundred twenty".