6122054400 has 864 divisors, whose sum is σ = 26059332096. Its totient is φ = 1228800000.

The previous prime is 6122054369. The next prime is 6122054413. The reversal of 6122054400 is 44502216.

It is a super-3 number, since 3×6122054400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 60614350 + ... + 60614450.

It is an arithmetic number, because the mean of its divisors is an integer number (30161264).

Almost surely, 2^6122054400 is an apocalyptic number.

6122054400 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 6122054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029666048).

6122054400 is an abundant number, since it is smaller than the sum of its proper divisors (19937277696).

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

6122054400 is a wasteful number, since it uses less digits than its factorization.

6122054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 6122054400 is about 78243.5582012986. The cubic root of 6122054400 is about 1829.3595059159.

Adding to 6122054400 its reverse (44502216), we get a palindrome (6166556616).

It can be divided in two parts, 612205 and 4400, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 6122054400 in words is "six billion, one hundred twenty-two million, fifty-four thousand, four hundred".