61123200 has 96 divisors (see below), whose sum is σ = 201356160. Its totient is φ = 16296960.

The previous prime is 61123193. The next prime is 61123201. The reversal of 61123200 is 232116.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 61123200.

It is not an unprimeable number, because it can be changed into a prime (61123201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6417 + ... + 12783.

It is an arithmetic number, because the mean of its divisors is an integer number (2097460).

Almost surely, 2^61123200 is an apocalyptic number.

61123200 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 61123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100678080).

61123200 is an abundant number, since it is smaller than the sum of its proper divisors (140232960).

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

61123200 is a wasteful number, since it uses less digits than its factorization.

61123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 61123200 is about 7818.1327694022. The cubic root of 61123200 is about 393.9145545512.

Adding to 61123200 its reverse (232116), we get a palindrome (61355316).

The spelling of 61123200 in words is "sixty-one million, one hundred twenty-three thousand, two hundred".