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13120124200020 = 2232589298163241
BaseRepresentation
bin1011111011101100010001…
…0101111010010001010100
31201110021100000101011011200
42332323010111322101110
53204430003243400040
643523145111032500
72522616623430105
oct276730425722124
951407300334150
1013120124200020
1141a9239085162
12157a92706b730
137422b780a306
14335035a5c3ac
1517b4404c2630
hexbeec457a454

13120124200020 has 72 divisors (see below), whose sum is σ = 39802172078760. Its totient is φ = 3498307522560.

The previous prime is 13120124199907. The next prime is 13120124200063. The reversal of 13120124200020 is 2000242102131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 993139806096 + 12126984393924 = 996564^2 + 3482382^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13120124199966 and 13120124200002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474401 + ... + 5688840.

Almost surely, 213120124200020 is an apocalyptic number.

13120124200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120124200020 is an abundant number, since it is smaller than the sum of its proper divisors (26682047878740).

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

13120124200020 is a wasteful number, since it uses less digits than its factorization.

13120124200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172185 (or 8172180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13120124200020 its reverse (2000242102131), we get a palindrome (15120366302151).

The spelling of 13120124200020 in words is "thirteen trillion, one hundred twenty billion, one hundred twenty-four million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8929 17858 26787 35716 44645 53574 80361 89290 107148 133935 160722 178580 267870 321444 401805 535740 803610 1607220 8163241 16326482 24489723 32652964 40816205 48979446 73469169 81632410 97958892 122448615 146938338 163264820 244897230 293876676 367345845 489794460 734691690 1469383380 72889578889 145779157778 218668736667 291558315556 364447894445 437337473334 656006210001 728895788890 874674946668 1093343683335 1312012420002 1457791577780 2186687366670 2624024840004 3280031050005 4373374733340 6560062100010 13120124200020