212011222002120 has 128 divisors (see below), whose sum is σ = 706778662176000. Its totient is φ = 56530358760960.

The previous prime is 212011222002049. The next prime is 212011222002121. The reversal of 212011222002120 is 21200222110212.

It is a happy number.

212011222002120 is a `hidden beast` number, since 2 + 120 + 112 + 220 + 0 + 212 + 0 = 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 = 212011222002093 and 212011222002102.

It is not an unprimeable number, because it can be changed into a prime (212011222002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117501 + ... + 20592140.

It is an arithmetic number, because the mean of its divisors is an integer number (5521708298250).

Almost surely, 2^{212011222002120} is an apocalyptic number.

212011222002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011222002120 is an abundant number, since it is smaller than the sum of its proper divisors (494767440173880).

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

212011222002120 is a wasteful number, since it uses less digits than its factorization.

212011222002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20719140 (or 20719130 counting only the distinct ones).

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

Adding to 212011222002120 its reverse (21200222110212), we get a palindrome (233211444112332).

The spelling of 212011222002120 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-two million, two thousand, one hundred twenty".