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1323201001200 = 243521384820577
BaseRepresentation
bin10011010000010100111…
…011001111011011110000
311200111102011010102121220
4103100110323033123300
5133134403424014300
62451511541345040
7164412103635321
oct23202473173360
94614364112556
101323201001200
11470191518851
12194541408180
1397a14a01510
1448086a3a448
1524645bdada0
hex13414ecf6f0

1323201001200 has 120 divisors (see below), whose sum is σ = 4564704225648. Its totient is φ = 325711011840.

The previous prime is 1323201001169. The next prime is 1323201001211. The reversal of 1323201001200 is 21001023231.

It is a tau number, because it is divible by the number of its divisors (120).

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 1323201001200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42394689 + ... + 42425888.

Almost surely, 21323201001200 is an apocalyptic number.

1323201001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323201001200 is an abundant number, since it is smaller than the sum of its proper divisors (3241503224448).

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

1323201001200 is a wasteful number, since it uses less digits than its factorization.

1323201001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84820611 (or 84820600 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1323201001200 its reverse (21001023231), we get a palindrome (1344202024431).

The spelling of 1323201001200 in words is "one trillion, three hundred twenty-three billion, two hundred one million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 84820577 169641154 254461731 339282308 424102885 508923462 678564616 848205770 1017846924 1102667501 1272308655 1357129232 1696411540 2035693848 2120514425 2205335002 2544617310 3308002503 3392823080 4071387696 4241028850 4410670004 5089234620 5513337505 6361543275 6616005006 6785646160 8482057700 8821340008 10178469240 11026675010 12723086550 13232010012 16540012515 16964115400 17642680016 20356938480 22053350020 25446173100 26464020024 27566687525 33080025030 33928230800 44106700040 50892346200 52928040048 55133375050 66160050060 82700062575 88213400080 101784692400 110266750100 132320100120 165400125150 220533500200 264640200240 330800250300 441067000400 661600500600 1323201001200