61222128 has 120 divisors (see below), whose sum is σ = 177321984. Its totient is φ = 18184320.

The previous prime is 61222111. The next prime is 61222141. The reversal of 61222128 is 82122216.

61222128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61222098 and 61222107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482001 + ... + 482127.

Almost surely, 2^61222128 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 61222128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

61222128 is an abundant number, since it is smaller than the sum of its proper divisors (116099856).

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

61222128 is a wasteful number, since it uses less digits than its factorization.

61222128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 61222128 is about 7824.4570418656. The cubic root of 61222128 is about 394.1269571198.

The spelling of 61222128 in words is "sixty-one million, two hundred twenty-two thousand, one hundred twenty-eight".