6123132288 has 288 divisors, whose sum is σ = 21810101040. Its totient is φ = 1614532608.

The previous prime is 6123132251. The next prime is 6123132341. The reversal of 6123132288 is 8822313216.

6123132288 is a `hidden beast` number, since 61 + 2 + 313 + 2 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6123132288² = 74985498032696229888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1360570 + ... + 1365062.

Almost surely, 2^6123132288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905050520).

6123132288 is an abundant number, since it is smaller than the sum of its proper divisors (15686968752).

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

6123132288 is a wasteful number, since it uses less digits than its factorization.

6123132288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4518 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6123132288 is about 78250.4459284418. The cubic root of 6123132288 is about 1829.4668625218.

It can be divided in two parts, 612 and 3132288, that added together give a square (3132900 = 1770²).

The spelling of 6123132288 in words is "six billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred eighty-eight".