6213034167120 has 480 divisors, whose sum is σ = 23621844355200. Its totient is φ = 1505137489920.

The previous prime is 6213034167077. The next prime is 6213034167133. The reversal of 6213034167120 is 217614303126.

6213034167120 is a `hidden beast` number, since 6 + 2 + 130 + 341 + 67 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331228782 + ... + 331247538.

It is an arithmetic number, because the mean of its divisors is an integer number (49212175740).

Almost surely, 2^{6213034167120} is an apocalyptic number.

6213034167120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6213034167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11810922177600).

6213034167120 is an abundant number, since it is smaller than the sum of its proper divisors (17408810188080).

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

6213034167120 is a wasteful number, since it uses less digits than its factorization.

6213034167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20345 (or 20327 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 6213034167120 in words is "six trillion, two hundred thirteen billion, thirty-four million, one hundred sixty-seven thousand, one hundred twenty".