6122144000 has 288 divisors, whose sum is σ = 17642107392. Its totient is φ = 2073600000.

The previous prime is 6122143991. The next prime is 6122144009. The reversal of 6122144000 is 4412216.

It is an interprime number because it is at equal distance from previous prime (6122143991) and next prime (6122144009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (6122144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33823910 + ... + 33824090.

Almost surely, 2^6122144000 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 6122144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821053696).

6122144000 is an abundant number, since it is smaller than the sum of its proper divisors (11519963392).

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

6122144000 is a wasteful number, since it uses less digits than its factorization.

6122144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6122144000 is about 78244.1307703012. The cubic root of 6122144000 is about 1829.3684304697.

Adding to 6122144000 its reverse (4412216), we get a palindrome (6126556216).

The spelling of 6122144000 in words is "six billion, one hundred twenty-two million, one hundred forty-four thousand".