6121483200 has 672 divisors, whose sum is σ = 26365931520. Its totient is φ = 1351987200.

The previous prime is 6121483177. The next prime is 6121483211. The reversal of 6121483200 is 23841216.

6121483200 is a `hidden beast` number, since 612 + 1 + 48 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 9374074 + ... + 9374726.

Almost surely, 2^6121483200 is an apocalyptic number.

6121483200 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 6121483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182965760).

6121483200 is an abundant number, since it is smaller than the sum of its proper divisors (20244448320).

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

6121483200 is a wasteful number, since it uses less digits than its factorization.

6121483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6121483200 is about 78239.9079754060. The cubic root of 6121483200 is about 1829.3026098382.

The spelling of 6121483200 in words is "six billion, one hundred twenty-one million, four hundred eighty-three thousand, two hundred".