212002122210120 has 192 divisors, whose sum is σ = 771958588040640. Its totient is φ = 50005414540800.

The previous prime is 212002122210037. The next prime is 212002122210121. The reversal of 212002122210120 is 21012221200212.

It is a happy number.

212002122210120 is a `hidden beast` number, since 2 + 120 + 0 + 212 + 2 + 210 + 120 = 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 = 212002122210093 and 212002122210102.

It is not an unprimeable number, because it can be changed into a prime (212002122210121) 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, 723311446 + ... + 723604485.

It is an arithmetic number, because the mean of its divisors is an integer number (4020617646045).

Almost surely, 2^{212002122210120} is an apocalyptic number.

212002122210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002122210120 is an abundant number, since it is smaller than the sum of its proper divisors (559956465830520).

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

212002122210120 is a wasteful number, since it uses less digits than its factorization.

212002122210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446915996 (or 1446915989 counting only the distinct ones).

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

Adding to 212002122210120 its reverse (21012221200212), we get a palindrome (233014343410332).

The spelling of 212002122210120 in words is "two hundred twelve trillion, two billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".