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1012432001200 = 245217197836161
BaseRepresentation
bin11101011101110011010…
…01100101100010110000
310120210021010102112001221
432232321221211202300
5113041430043014300
62053034351234424
7133101003006334
oct16567151454260
93523233375057
101012432001200
1136040851a454
12144271518a14
1374619a97779
14370055997c4
151b507dbc31a
hexebb9a658b0

1012432001200 has 120 divisors (see below), whose sum is σ = 2710998605520. Its totient is φ = 361090252800.

The previous prime is 1012432001177. The next prime is 1012432001213. The reversal of 1012432001200 is 21002342101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3788881 + ... + 4047280.

It is an arithmetic number, because the mean of its divisors is an integer number (22591655046).

Almost surely, 21012432001200 is an apocalyptic number.

1012432001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012432001200 is an abundant number, since it is smaller than the sum of its proper divisors (1698566604320).

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

1012432001200 is a wasteful number, since it uses less digits than its factorization.

1012432001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836215 (or 7836204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1012432001200 its reverse (21002342101), we get a palindrome (1033434343301).

The spelling of 1012432001200 in words is "one trillion, twelve billion, four hundred thirty-two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 19 20 25 34 38 40 50 68 76 80 85 95 100 136 152 170 190 200 272 304 323 340 380 400 425 475 646 680 760 850 950 1292 1360 1520 1615 1700 1900 2584 3230 3400 3800 5168 6460 6800 7600 8075 12920 16150 25840 32300 64600 129200 7836161 15672322 31344644 39180805 62689288 78361610 125378576 133214737 148887059 156723220 195904025 266429474 297774118 313446440 391808050 532858948 595548236 626892880 666073685 744435295 783616100 1065717896 1191096472 1332147370 1488870590 1567232200 2131435792 2382192944 2531080003 2664294740 2977741180 3134464400 3330368425 3722176475 5062160006 5328589480 5955482360 6660736850 7444352950 10124320012 10657178960 11910964720 12655400015 13321473700 14888705900 20248640024 25310800030 26642947400 29777411800 40497280048 50621600060 53285894800 59554823600 63277000075 101243200120 126554000150 202486400240 253108000300 506216000600 1012432001200