6122822400 has 648 divisors, whose sum is σ = 23618043904. Its totient is φ = 1567641600.

The previous prime is 6122822389. The next prime is 6122822411. The reversal of 6122822400 is 42282216.

It is a happy number.

6122822400 is a `hidden beast` number, since 612 + 2 + 8 + 2 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6122822389) and next prime (6122822411).

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 48211137 + ... + 48211263.

Almost surely, 2^6122822400 is an apocalyptic number.

6122822400 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 6122822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11809021952).

6122822400 is an abundant number, since it is smaller than the sum of its proper divisors (17495221504).

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

6122822400 is a wasteful number, since it uses less digits than its factorization.

6122822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6122822400 is about 78248.4657996564. The cubic root of 6122822400 is about 1829.4359992662.

The spelling of 6122822400 in words is "six billion, one hundred twenty-two million, eight hundred twenty-two thousand, four hundred".