212112202001220 has 72 divisors (see below), whose sum is σ = 643438000296000. Its totient is φ = 56560529686080.

The previous prime is 212112202001197. The next prime is 212112202001257. The reversal of 212112202001220 is 22100202211212.

It is a happy number.

212112202001220 is a `hidden beast` number, since 2 + 1 + 21 + 1 + 220 + 200 + 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 = 212112202001193 and 212112202001202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24627720 + ... + 32105279.

It is an arithmetic number, because the mean of its divisors is an integer number (8936638893000).

Almost surely, 2^{212112202001220} is an apocalyptic number.

212112202001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112202001220 is an abundant number, since it is smaller than the sum of its proper divisors (431325798294780).

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

212112202001220 is a wasteful number, since it uses less digits than its factorization.

212112202001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56753785 (or 56753780 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212112202001220 its reverse (22100202211212), we get a palindrome (234212404212432).

The spelling of 212112202001220 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred two million, one thousand, two hundred twenty".