61212600 has 144 divisors (see below), whose sum is σ = 212397120. Its totient is φ = 15782400.

The previous prime is 61212587. The next prime is 61212643. The reversal of 61212600 is 621216.

It is a happy number.

61212600 is a `hidden beast` number, since 61 + 2 + 1 + 2 + 600 = 666.

61212600 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 (18).

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 35 ways as a sum of consecutive naturals, for example, 55252 + ... + 56348.

It is an arithmetic number, because the mean of its divisors is an integer number (1474980).

Almost surely, 2^61212600 is an apocalyptic number.

61212600 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 61212600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106198560).

61212600 is an abundant number, since it is smaller than the sum of its proper divisors (151184520).

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

61212600 is a wasteful number, since it uses less digits than its factorization.

61212600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61212600 is about 7823.8481580358. The cubic root of 61212600 is about 394.1065100658.

Adding to 61212600 its reverse (621216), we get a palindrome (61833816).

The spelling of 61212600 in words is "sixty-one million, two hundred twelve thousand, six hundred".