6161600121300 has 864 divisors, whose sum is σ = 22629569114880. Its totient is φ = 1443623731200.

The previous prime is 6161600121289. The next prime is 6161600121301. The reversal of 6161600121300 is 31210061616.

6161600121300 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 600 + 1 + 21 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6161600121301) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 650433364 + ... + 650442836.

It is an arithmetic number, because the mean of its divisors is an integer number (26191630920).

Almost surely, 2^{6161600121300} is an apocalyptic number.

6161600121300 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 6161600121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314784557440).

6161600121300 is an abundant number, since it is smaller than the sum of its proper divisors (16467968993580).

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

6161600121300 is a wasteful number, since it uses less digits than its factorization.

6161600121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9615 (or 9596 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 6161600121300 its reverse (31210061616), we get a palindrome (6192810182916).

The spelling of 6161600121300 in words is "six trillion, one hundred sixty-one billion, six hundred million, one hundred twenty-one thousand, three hundred".