200124034834104 has 256 divisors, whose sum is σ = 571468493030400. Its totient is φ = 64851429427200.

The previous prime is 200124034834099. The next prime is 200124034834109. The reversal of 200124034834104 is 401438430421002.

200124034834104 is a `hidden beast` number, since 20 + 0 + 12 + 40 + 3 + 483 + 4 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (200124034834099) and next prime (200124034834109).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200124034834109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9732228927 + ... + 9732249489.

It is an arithmetic number, because the mean of its divisors is an integer number (2232298800900).

Almost surely, 2^{200124034834104} is an apocalyptic number.

200124034834104 is a gapful number since it is divisible by the number (24) 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 200124034834104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285734246515200).

200124034834104 is an abundant number, since it is smaller than the sum of its proper divisors (371344458196296).

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

200124034834104 is a wasteful number, since it uses less digits than its factorization.

200124034834104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24443 (or 24433 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 200124034834104 in words is "two hundred trillion, one hundred twenty-four billion, thirty-four million, eight hundred thirty-four thousand, one hundred four".