6112130400 has 432 divisors, whose sum is σ = 23340006144. Its totient is φ = 1557895680.

The previous prime is 6112130383. The next prime is 6112130449. The reversal of 6112130400 is 40312116.

It is a happy number.

6112130400 is a `hidden beast` number, since 611 + 2 + 13 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×6112130400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 4470517 + ... + 4471883.

It is an arithmetic number, because the mean of its divisors is an integer number (54027792).

Almost surely, 2^6112130400 is an apocalyptic number.

6112130400 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 6112130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670003072).

6112130400 is an abundant number, since it is smaller than the sum of its proper divisors (17227875744).

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

6112130400 is a wasteful number, since it uses less digits than its factorization.

6112130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1400 counting only the distinct ones).

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

The square root of 6112130400 is about 78180.1151188715. The cubic root of 6112130400 is about 1828.3704924760.

Adding to 6112130400 its reverse (40312116), we get a palindrome (6152442516).

The spelling of 6112130400 in words is "six billion, one hundred twelve million, one hundred thirty thousand, four hundred".