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1312001201220 = 22351031193177953
BaseRepresentation
bin10011000101111001010…
…111011001010001000100
311122102111121201122100020
4103011321113121101010
5132443434301414340
62442420335015140
7163534420130253
oct23057127312104
94572447648306
101312001201220
11466464524306
1219233666a4b0
139694b58c938
14477033da79a
15241dc8319d0
hex131795d9444

1312001201220 has 96 divisors (see below), whose sum is σ = 3712399471872. Its totient is φ = 346177855488.

The previous prime is 1312001201213. The next prime is 1312001201221. The reversal of 1312001201220 is 221021002131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1312001201220.

It is not an unprimeable number, because it can be changed into a prime (1312001201221) 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 31 ways as a sum of consecutive naturals, for example, 7283764 + ... + 7461716.

It is an arithmetic number, because the mean of its divisors is an integer number (38670827832).

Almost surely, 21312001201220 is an apocalyptic number.

1312001201220 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 1312001201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856199735936).

1312001201220 is an abundant number, since it is smaller than the sum of its proper divisors (2400398270652).

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

1312001201220 is a wasteful number, since it uses less digits than its factorization.

1312001201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179261 (or 179259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1312001201220 its reverse (221021002131), we get a palindrome (1533022203351).

The spelling of 1312001201220 in words is "one trillion, three hundred twelve billion, one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1193 1236 1545 2060 2386 3090 3579 4772 5965 6180 7158 11930 14316 17895 23860 35790 71580 122879 177953 245758 355906 368637 491516 533859 614395 711812 737274 889765 1067718 1228790 1474548 1779530 1843185 2135436 2457580 2669295 3559060 3686370 5338590 7372740 10677180 18329159 36658318 54987477 73316636 91645795 109974954 183291590 212297929 219949908 274937385 366583180 424595858 549874770 636893787 849191716 1061489645 1099749540 1273787574 2122979290 2547575148 3184468935 4245958580 6368937870 12737875740 21866686687 43733373374 65600060061 87466746748 109333433435 131200120122 218666866870 262400240244 328000300305 437333733740 656000600610 1312001201220