212000130321120 has 144 divisors (see below), whose sum is σ = 750244905774000. Its totient is φ = 56533368075264.

The previous prime is 212000130321113. The next prime is 212000130321127. The reversal of 212000130321120 is 21123031000212.

212000130321120 is a `hidden beast` number, since 2 + 1 + 200 + 0 + 130 + 321 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212000130321113) and next prime (212000130321127).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 212000130321093 and 212000130321102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000130321127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2726300245 + ... + 2726378004.

It is an arithmetic number, because the mean of its divisors is an integer number (5210034067875).

Almost surely, 2^{212000130321120} is an apocalyptic number.

212000130321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000130321120 is an abundant number, since it is smaller than the sum of its proper divisors (538244775452880).

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

212000130321120 is an equidigital number, since it uses as much as digits as its factorization.

212000130321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452678279 (or 5452678259 counting only the distinct ones).

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

Adding to 212000130321120 its reverse (21123031000212), we get a palindrome (233123161321332).

The spelling of 212000130321120 in words is "two hundred twelve trillion, one hundred thirty million, three hundred twenty-one thousand, one hundred twenty".