212112220002120 has 192 divisors, whose sum is σ = 715006061630640. Its totient is φ = 54489625344000.

The previous prime is 212112220002119. The next prime is 212112220002121. The reversal of 212112220002120 is 21200022211212.

It is a happy number.

212112220002120 is a `hidden beast` number, since 21 + 211 + 2 + 220 + 0 + 0 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212112220002119) and next prime (212112220002121).

It can be written as a sum of positive squares in 8 ways, for example, as 158326805508804 + 53785414493316 = 12582798^2 + 7333854^2 .

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 = 212112220002093 and 212112220002102.

It is not an unprimeable number, because it can be changed into a prime (212112220002121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77488051 + ... + 80178690.

Almost surely, 2^{212112220002120} is an apocalyptic number.

212112220002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112220002120 is an abundant number, since it is smaller than the sum of its proper divisors (502893841628520).

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

212112220002120 is a wasteful number, since it uses less digits than its factorization.

212112220002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157666896 (or 157666889 counting only the distinct ones).

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

Adding to 212112220002120 its reverse (21200022211212), we get a palindrome (233312242213332).

The spelling of 212112220002120 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty million, two thousand, one hundred twenty".