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12402142320 = 2435298532089
BaseRepresentation
bin10111000110011100…
…11010110001110000
31012000022211002220110
423203032122301300
5200344422023240
65410352541320
7616223320221
oct134316326160
935008732813
1012402142320
1152947600a7
1224a1551840
131228576269
148591bd248
154c8c08c80
hex2e339ac70

12402142320 has 160 divisors (see below), whose sum is σ = 39838075200. Its totient is φ = 3187924992.

The previous prime is 12402142303. The next prime is 12402142321. The reversal of 12402142320 is 2324120421.

12402142320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12402142321) 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 31 ways as a sum of consecutive naturals, for example, 5935836 + ... + 5937924.

It is an arithmetic number, because the mean of its divisors is an integer number (248987970).

Almost surely, 212402142320 is an apocalyptic number.

12402142320 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 12402142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19919037600).

12402142320 is an abundant number, since it is smaller than the sum of its proper divisors (27435932880).

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

12402142320 is a wasteful number, since it uses less digits than its factorization.

12402142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12402142320 its reverse (2324120421), we get a palindrome (14726262741).

The spelling of 12402142320 in words is "twelve billion, four hundred two million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 853 870 1160 1392 1706 1740 2089 2320 2559 3412 3480 4178 4265 5118 6267 6824 6960 8356 8530 10236 10445 12534 12795 13648 16712 17060 20472 20890 24737 25068 25590 31335 33424 34120 40944 41780 49474 50136 51180 60581 62670 68240 74211 83560 98948 100272 102360 121162 123685 125340 148422 167120 181743 197896 204720 242324 247370 250680 296844 302905 363486 371055 395792 484648 494740 501360 593688 605810 726972 742110 908715 969296 989480 1187376 1211620 1453944 1484220 1781917 1817430 1978960 2423240 2907888 2968440 3563834 3634860 4846480 5345751 5936880 7127668 7269720 8909585 10691502 14255336 14539440 17819170 21383004 26728755 28510672 35638340 42766008 51675593 53457510 71276680 85532016 103351186 106915020 142553360 155026779 206702372 213830040 258377965 310053558 413404744 427660080 516755930 620107116 775133895 826809488 1033511860 1240214232 1550267790 2067023720 2480428464 3100535580 4134047440 6201071160 12402142320