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120142212432 = 243111571144839
BaseRepresentation
bin110111111100100001…
…0001010110101010000
3102111002220202202021120
41233321002022311100
53432022401244212
6131105332322240
711452143645624
oct1577102126520
9374086682246
10120142212432
1146a52168460
121b34b473380
13b4387ba738
145b5a1a5184
1531d26e788c
hex1bf908ad50

120142212432 has 80 divisors (see below), whose sum is σ = 338800458240. Its totient is φ = 36383305600.

The previous prime is 120142212431. The next prime is 120142212467. The reversal of 120142212432 is 234212241021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120142212431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757069 + ... + 901907.

It is an arithmetic number, because the mean of its divisors is an integer number (4235005728).

Almost surely, 2120142212432 is an apocalyptic number.

120142212432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120142212432 is an abundant number, since it is smaller than the sum of its proper divisors (218658245808).

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

120142212432 is a wasteful number, since it uses less digits than its factorization.

120142212432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146432 (or 146426 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120142212432 its reverse (234212241021), we get a palindrome (354354453453).

The spelling of 120142212432 in words is "one hundred twenty billion, one hundred forty-two million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1571 3142 4713 6284 9426 12568 17281 18852 25136 34562 37704 51843 69124 75408 103686 138248 144839 207372 276496 289678 414744 434517 579356 829488 869034 1158712 1593229 1738068 2317424 3186458 3476136 4779687 6372916 6952272 9559374 12745832 19118748 25491664 38237496 76474992 227542069 455084138 682626207 910168276 1365252414 1820336552 2502962759 2730504828 3640673104 5005925518 5461009656 7508888277 10011851036 10922019312 15017776554 20023702072 30035553108 40047404144 60071106216 120142212432