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124412130200 = 235217241471117
BaseRepresentation
bin111001111011110001…
…0100111001110011000
3102220010111101001022002
41303313202213032120
54014244001131300
6133053143420132
711663022441521
oct1636742471630
9386114331262
10124412130200
1148843449916
1220141454648
13b9693066b7
1460432db848
1533824d85d5
hex1cf78a7398

124412130200 has 288 divisors, whose sum is σ = 321753781440. Its totient is φ = 44682854400.

The previous prime is 124412130191. The next prime is 124412130263. The reversal of 124412130200 is 2031214421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111380042 + ... + 111381158.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200630).

Almost surely, 2124412130200 is an apocalyptic number.

124412130200 is a gapful number since it is divisible by the number (10) 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 124412130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876890720).

124412130200 is an abundant number, since it is smaller than the sum of its proper divisors (197341651240).

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

124412130200 is a wasteful number, since it uses less digits than its factorization.

124412130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 124412130200 its reverse (2031214421), we get a palindrome (126443344621).

The spelling of 124412130200 in words is "one hundred twenty-four billion, four hundred twelve million, one hundred thirty thousand, two hundred".