61230124800 has 864 divisors, whose sum is σ = 245157850560. Its totient is φ = 14863564800.

The previous prime is 61230124789. The next prime is 61230124807. The reversal of 61230124800 is 842103216.

61230124800 is a `hidden beast` number, since 612 + 3 + 0 + 1 + 2 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61230124807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217900660 + ... + 217900940.

Almost surely, 2^61230124800 is an apocalyptic number.

61230124800 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 61230124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122578925280).

61230124800 is an abundant number, since it is smaller than the sum of its proper divisors (183927725760).

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

61230124800 is a wasteful number, since it uses less digits than its factorization.

61230124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 61230124800 in words is "sixty-one billion, two hundred thirty million, one hundred twenty-four thousand, eight hundred".