6161260122720 has 192 divisors, whose sum is σ = 21596273576640. Its totient is φ = 1640575033344.

The previous prime is 6161260122713. The next prime is 6161260122737. The reversal of 6161260122720 is 272210621616.

It is a happy number.

6161260122720 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 2 + 601 + 2 + 27 + 20 = 666.

It is a super-2 number, since 2×6161260122720² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1871304 + ... + 3977976.

It is an arithmetic number, because the mean of its divisors is an integer number (112480591545).

Almost surely, 2^{6161260122720} is an apocalyptic number.

6161260122720 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 6161260122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10798136788320).

6161260122720 is an abundant number, since it is smaller than the sum of its proper divisors (15435013453920).

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

6161260122720 is a wasteful number, since it uses less digits than its factorization.

6161260122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107374 (or 2107360 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 6161260122720 in words is "six trillion, one hundred sixty-one billion, two hundred sixty million, one hundred twenty-two thousand, seven hundred twenty".