61120177112500 has 288 divisors, whose sum is σ = 147118815043200. Its totient is φ = 22031880000000.

The previous prime is 61120177112443. The next prime is 61120177112521. The reversal of 61120177112500 is 521177102116.

61120177112500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31359761526 + ... + 31359763474.

It is an arithmetic number, because the mean of its divisors is an integer number (510829218900).

Almost surely, 2^{61120177112500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61120177112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73559407521600).

61120177112500 is an abundant number, since it is smaller than the sum of its proper divisors (85998637930700).

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

61120177112500 is a wasteful number, since it uses less digits than its factorization.

61120177112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 34.

The spelling of 61120177112500 in words is "sixty-one trillion, one hundred twenty billion, one hundred seventy-seven million, one hundred twelve thousand, five hundred".