61123392000 has 720 divisors, whose sum is σ = 242264478456. Its totient is φ = 14800896000.

The previous prime is 61123391993. The next prime is 61123392007. The reversal of 61123392000 is 29332116.

61123392000 is a `hidden beast` number, since 611 + 23 + 3 + 9 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61123391993) and next prime (61123392007).

It can be written as a sum of positive squares in 4 ways, for example, as 29085255936 + 32038136064 = 170544^2 + 178992^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (61123392007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69695562 + ... + 69696438.

Almost surely, 2^61123392000 is an apocalyptic number.

61123392000 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 61123392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121132239228).

61123392000 is an abundant number, since it is smaller than the sum of its proper divisors (181141086456).

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

61123392000 is a wasteful number, since it uses less digits than its factorization.

61123392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 61123392000 in words is "sixty-one billion, one hundred twenty-three million, three hundred ninety-two thousand".