112212201001320 has 192 divisors, whose sum is σ = 441305126795520. Its totient is φ = 24139767601152.

The previous prime is 112212201001279. The next prime is 112212201001387. The reversal of 112212201001320 is 23100102212211.

112212201001320 is a `hidden beast` number, since 1 + 1 + 2 + 21 + 220 + 100 + 1 + 320 = 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 = 112212201001293 and 112212201001302.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1309623372 + ... + 1309709051.

It is an arithmetic number, because the mean of its divisors is an integer number (2298464202060).

Almost surely, 2^{112212201001320} is an apocalyptic number.

112212201001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212201001320 is an abundant number, since it is smaller than the sum of its proper divisors (329092925794200).

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

112212201001320 is a wasteful number, since it uses less digits than its factorization.

112212201001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619332464 (or 2619332457 counting only the distinct ones).

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

Adding to 112212201001320 its reverse (23100102212211), we get a palindrome (135312303213531).

The spelling of 112212201001320 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred one million, one thousand, three hundred twenty".