6122239200 has 864 divisors, whose sum is σ = 27980709120. Its totient is φ = 1269043200.

The previous prime is 6122239177. The next prime is 6122239217. The reversal of 6122239200 is 29322216.

6122239200 is a `hidden beast` number, since 612 + 2 + 23 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14968596 + ... + 14969004.

It is an arithmetic number, because the mean of its divisors is an integer number (32385080).

Almost surely, 2^6122239200 is an apocalyptic number.

6122239200 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 6122239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990354560).

6122239200 is an abundant number, since it is smaller than the sum of its proper divisors (21858469920).

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

6122239200 is a wasteful number, since it uses less digits than its factorization.

6122239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6122239200 is about 78244.7391202757. The cubic root of 6122239200 is about 1829.3779127128.

The spelling of 6122239200 in words is "six billion, one hundred twenty-two million, two hundred thirty-nine thousand, two hundred".