61122600 has 480 divisors, whose sum is σ = 270072000. Its totient is φ = 12700800.

The previous prime is 61122583. The next prime is 61122613. The reversal of 61122600 is 622116.

It is a happy number.

61122600 is a `hidden beast` number, since 61 + 1 + 2 + 2 + 600 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5556595 + ... + 5556605.

It is an arithmetic number, because the mean of its divisors is an integer number (562650).

Almost surely, 2^61122600 is an apocalyptic number.

61122600 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 61122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135036000).

61122600 is an abundant number, since it is smaller than the sum of its proper divisors (208949400).

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

61122600 is a wasteful number, since it uses less digits than its factorization.

61122600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

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

The square root of 61122600 is about 7818.0943969742. The cubic root of 61122600 is about 393.9132656270.

Adding to 61122600 its reverse (622116), we get a palindrome (61744716).

The spelling of 61122600 in words is "sixty-one million, one hundred twenty-two thousand, six hundred".