61012030128 has 240 divisors, whose sum is σ = 187416218880. Its totient is φ = 17049177600.

The previous prime is 61012030127. The next prime is 61012030169. The reversal of 61012030128 is 82103021016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61012030098 and 61012030107.

It is not an unprimeable number, because it can be changed into a prime (61012030127) 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 47 ways as a sum of consecutive naturals, for example, 21874558 + ... + 21877346.

It is an arithmetic number, because the mean of its divisors is an integer number (780900912).

Almost surely, 2^61012030128 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 61012030128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93708109440).

61012030128 is an abundant number, since it is smaller than the sum of its proper divisors (126404188752).

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

61012030128 is a wasteful number, since it uses less digits than its factorization.

61012030128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 61012030128 in words is "sixty-one billion, twelve million, thirty thousand, one hundred twenty-eight".