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120205684001472 = 2631223511914367
BaseRepresentation
bin11011010101001110010001…
…000110000100101011000000
3120202121112212210111220121220
4123111032101012010223000
5111223422220101021342
61103353421234515040
734214400623305056
oct3325162106045300
9522545783456556
10120205684001472
1135334a42954893
1211594800435a80
13520c469204b14
142197db3dc41d6
15dd6c5bae35ec
hex6d5391184ac0

120205684001472 has 56 divisors (see below), whose sum is σ = 318304258707456. Its totient is φ = 40035798736128.

The previous prime is 120205684001471. The next prime is 120205684001477. The reversal of 120205684001472 is 274100486502021.

It is not an unprimeable number, because it can be changed into a prime (120205684001471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255722368 + ... + 256191999.

It is an arithmetic number, because the mean of its divisors is an integer number (5684004619776).

Almost surely, 2120205684001472 is an apocalyptic number.

120205684001472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120205684001472 is an abundant number, since it is smaller than the sum of its proper divisors (198098574705984).

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

120205684001472 is a wasteful number, since it uses less digits than its factorization.

120205684001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511915605 (or 511915595 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 120205684001472 in words is "one hundred twenty trillion, two hundred five billion, six hundred eighty-four million, one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1223 2446 3669 4892 7338 9784 14676 19568 29352 39136 58704 78272 117408 234816 511914367 1023828734 1535743101 2047657468 3071486202 4095314936 6142972404 8190629872 12285944808 16381259744 24571889616 32762519488 49143779232 98287558464 626071270841 1252142541682 1878213812523 2504285083364 3756427625046 5008570166728 7512855250092 10017140333456 15025710500184 20034280666912 30051421000368 40068561333824 60102842000736 120205684001472