6121408204800 has 3120 divisors, whose sum is σ = 28315644825600. Its totient is φ = 1275612364800.

The previous prime is 6121408204771. The next prime is 6121408204811. The reversal of 6121408204800 is 84028041216.

6121408204800 is a `hidden beast` number, since 6 + 12 + 140 + 8 + 20 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34197811111 + ... + 34197811289.

Almost surely, 2^{6121408204800} is an apocalyptic number.

6121408204800 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 6121408204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157822412800).

6121408204800 is an abundant number, since it is smaller than the sum of its proper divisors (22194236620800).

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

6121408204800 is a wasteful number, since it uses less digits than its factorization.

6121408204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 6121408204800 in words is "six trillion, one hundred twenty-one billion, four hundred eight million, two hundred four thousand, eight hundred".