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120411222144 = 2732323995683
BaseRepresentation
bin111000000100100010…
…0010111000010000000
3102111210122221212020020
41300021010113002000
53433100233102034
6131152142213440
711461621333533
oct1601104270200
9374718855206
10120411222144
114707aaa5434
121b405584280
13b47c457895
145b83bcca1a
1531eb134249
hex1c09117080

120411222144 has 128 divisors (see below), whose sum is σ = 333946368000. Its totient is φ = 38369227776.

The previous prime is 120411222133. The next prime is 120411222203. The reversal of 120411222144 is 441222114021.

It is a happy number.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21185127 + ... + 21190809.

It is an arithmetic number, because the mean of its divisors is an integer number (2608956000).

Almost surely, 2120411222144 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 120411222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166973184000).

120411222144 is an abundant number, since it is smaller than the sum of its proper divisors (213535145856).

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

120411222144 is a wasteful number, since it uses less digits than its factorization.

120411222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8122 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 120411222144 its reverse (441222114021), we get a palindrome (561633336165).

The spelling of 120411222144 in words is "one hundred twenty billion, four hundred eleven million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2399 2944 4416 4798 5683 7197 8832 9596 11366 14394 17049 19192 22732 28788 34098 38384 45464 55177 57576 68196 76768 90928 110354 115152 130709 136392 153536 165531 181856 220708 230304 261418 272784 307072 331062 363712 392127 441416 460608 522836 545568 662124 727424 784254 882832 921216 1045672 1091136 1324248 1568508 1765664 2091344 2182272 2648496 3137016 3531328 4182688 5296992 6274032 7062656 8365376 10593984 12548064 13633517 16730752 21187968 25096128 27267034 40900551 50192256 54534068 81801102 109068136 163602204 218136272 313570891 327204408 436272544 627141782 654408816 872545088 940712673 1254283564 1308817632 1745090176 1881425346 2508567128 2617635264 3762850692 5017134256 5235270528 7525701384 10034268512 15051402768 20068537024 30102805536 40137074048 60205611072 120411222144