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1213332122200 = 2352112191262501
BaseRepresentation
bin10001101010000000001…
…110101110101001011000
311021222211012110002110011
4101222000032232221120
5124334401010402300
62325221434131304
7153442333604662
oct21520016565130
94258735402404
101213332122200
11428631395900
1217719a580b34
138a555723403
1442a23029532
1521865393eba
hex11a803aea58

1213332122200 has 144 divisors (see below), whose sum is σ = 3117011748480. Its totient is φ = 438900000000.

The previous prime is 1213332122179. The next prime is 1213332122203. The reversal of 1213332122200 is 22212333121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213332122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4490950 + ... + 4753450.

It is an arithmetic number, because the mean of its divisors is an integer number (21645914920).

Almost surely, 21213332122200 is an apocalyptic number.

1213332122200 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 1213332122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558505874240).

1213332122200 is an abundant number, since it is smaller than the sum of its proper divisors (1903679626280).

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

1213332122200 is a wasteful number, since it uses less digits than its factorization.

1213332122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262730 (or 262710 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1213332122200 its reverse (22212333121), we get a palindrome (1235544455321).

The spelling of 1213332122200 in words is "one trillion, two hundred thirteen billion, three hundred thirty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 191 200 220 242 275 382 440 484 550 605 764 955 968 1100 1210 1528 1910 2101 2200 2420 3025 3820 4202 4775 4840 6050 7640 8404 9550 10505 12100 16808 19100 21010 23111 24200 38200 42020 46222 52525 84040 92444 105050 115555 184888 210100 231110 262501 420200 462220 525002 577775 924440 1050004 1155550 1312505 2100008 2311100 2625010 2887511 4622200 5250020 5775022 6562525 10500040 11550044 13125050 14437555 23100088 26250100 28875110 31762621 50137691 52500200 57750220 63525242 72187775 100275382 115500440 127050484 144375550 158813105 200550764 250688455 254100968 288751100 317626210 401101528 501376910 551514601 577502200 635252420 794065525 1002753820 1103029202 1253442275 1270504840 1588131050 2005507640 2206058404 2506884550 2757573005 3176262100 4412116808 5013769100 5515146010 6066660611 6352524200 10027538200 11030292020 12133321222 13787865025 22060584040 24266642444 27575730050 30333303055 48533284888 55151460100 60666606110 110302920200 121333212220 151666515275 242666424440 303333030550 606666061100 1213332122200