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1200303222144 = 273132087115211
BaseRepresentation
bin10001011101110111101…
…001011010110110000000
311020202012012021101120020
4101131313221122312000
5124131210111102034
62315224531413440
7152501430022425
oct21356751326600
94222165241506
101200303222144
11423055971404
12174763154280
138925a3732b0
14421488d9d4c
1521351634249
hex11777a5ad80

1200303222144 has 128 divisors (see below), whose sum is σ = 3435234727680. Its totient is φ = 369143900160.

The previous prime is 1200303222119. The next prime is 1200303222197. The reversal of 1200303222144 is 4412223030021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12003032221442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10360699 + ... + 10475909.

It is an arithmetic number, because the mean of its divisors is an integer number (26837771310).

Almost surely, 21200303222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200303222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717617363840).

1200303222144 is an abundant number, since it is smaller than the sum of its proper divisors (2234931505536).

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

1200303222144 is a wasteful number, since it uses less digits than its factorization.

1200303222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117328 (or 117316 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1200303222144 its reverse (4412223030021), we get a palindrome (5612526252165).

The spelling of 1200303222144 in words is "one trillion, two hundred billion, three hundred three million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2087 2496 4174 4992 6261 8348 12522 16696 25044 27131 33392 50088 54262 66784 81393 100176 108524 115211 133568 162786 200352 217048 230422 267136 325572 345633 400704 434096 460844 651144 691266 801408 868192 921688 1302288 1382532 1497743 1736384 1843376 2604576 2765064 2995486 3472768 3686752 4493229 5209152 5530128 5990972 7373504 8986458 10418304 11060256 11981944 14747008 17972916 22120512 23963888 35945832 44241024 47927776 71891664 95855552 143783328 191711104 240445357 287566656 480890714 575133312 721336071 961781428 1442672142 1923562856 2885344284 3125789641 3847125712 5770688568 6251579282 7694251424 9377368923 11541377136 12503158564 15388502848 18754737846 23082754272 25006317128 30777005696 37509475692 46165508544 50012634256 75018951384 92331017088 100025268512 150037902768 200050537024 300075805536 400101074048 600151611072 1200303222144