61120200 has 192 divisors, whose sum is σ = 204272640. Its totient is φ = 15079680.

The previous prime is 61120181. The next prime is 61120229. The reversal of 61120200 is 202116.

61120200 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 (12).

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 47 ways as a sum of consecutive naturals, for example, 593349 + ... + 593451.

It is an arithmetic number, because the mean of its divisors is an integer number (1063920).

Almost surely, 2^61120200 is an apocalyptic number.

61120200 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 61120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

61120200 is an abundant number, since it is smaller than the sum of its proper divisors (143152440).

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

61120200 is a wasteful number, since it uses less digits than its factorization.

61120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 61120200 is about 7817.9409053791. The cubic root of 61120200 is about 393.9081098461.

Adding to 61120200 its reverse (202116), we get a palindrome (61322316).

The spelling of 61120200 in words is "sixty-one million, one hundred twenty thousand, two hundred".