61128442200 has 384 divisors, whose sum is σ = 219425955840. Its totient is φ = 13789440000.

The previous prime is 61128442153. The next prime is 61128442237. The reversal of 61128442200 is 224482116.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145197990 + ... + 145198410.

It is an arithmetic number, because the mean of its divisors is an integer number (571421760).

Almost surely, 2^61128442200 is an apocalyptic number.

61128442200 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 61128442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109712977920).

61128442200 is an abundant number, since it is smaller than the sum of its proper divisors (158297513640).

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

61128442200 is a wasteful number, since it uses less digits than its factorization.

61128442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 61128442200 in words is "sixty-one billion, one hundred twenty-eight million, four hundred forty-two thousand, two hundred".