212133102120 has 64 divisors (see below), whose sum is σ = 707110344000. Its totient is φ = 56568826944.

The previous prime is 212133102061. The next prime is 212133102121. The reversal of 212133102120 is 21201331212.

212133102120 is a `hidden beast` number, since 2 + 121 + 331 + 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 = 212133102093 and 212133102102.

It is not an unprimeable number, because it can be changed into a prime (212133102121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98208690 + ... + 98210849.

It is an arithmetic number, because the mean of its divisors is an integer number (11048599125).

Almost surely, 2^212133102120 is an apocalyptic number.

212133102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133102120 is an abundant number, since it is smaller than the sum of its proper divisors (494977241880).

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

212133102120 is a wasteful number, since it uses less digits than its factorization.

212133102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196419559 (or 196419549 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212133102120 its reverse (21201331212), we get a palindrome (233334433332).

The spelling of 212133102120 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred two thousand, one hundred twenty".