212210200201120 has 48 divisors (see below), whose sum is σ = 546923561431968. Its totient is φ = 77167345527040.

The previous prime is 212210200201009. The next prime is 212210200201127. The reversal of 212210200201120 is 21102002012212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212210200201094 and 212210200201103.

It is not an unprimeable number, because it can be changed into a prime (212210200201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60286986934 + ... + 60286990453.

It is an arithmetic number, because the mean of its divisors is an integer number (11394240863166).

Almost surely, 2^{212210200201120} is an apocalyptic number.

212210200201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210200201120 is an abundant number, since it is smaller than the sum of its proper divisors (334713361230848).

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

212210200201120 is a wasteful number, since it uses less digits than its factorization.

212210200201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120573977413 (or 120573977405 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212210200201120 its reverse (21102002012212), we get a palindrome (233312202213332).

The spelling of 212210200201120 in words is "two hundred twelve trillion, two hundred ten billion, two hundred million, two hundred one thousand, one hundred twenty".