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12021416352 = 2532114780737
BaseRepresentation
bin10110011001000100…
…00100000110100000
31011000210102020001200
423030202010012200
5144104440310402
65304512401200
7603621232041
oct131442040640
934023366050
1012021416352
11510985a040
1223b5b46200
13119772281a
148207d48c8
154a55a121c
hex2cc8841a0

12021416352 has 144 divisors (see below), whose sum is σ = 38087667072. Its totient is φ = 3565301760.

The previous prime is 12021416327. The next prime is 12021416377. The reversal of 12021416352 is 25361412021.

12021416352 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 4 + 1 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12021416327) and next prime (12021416377).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×120214163522 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 108528 + ... + 189264.

It is an arithmetic number, because the mean of its divisors is an integer number (264497688).

Almost surely, 212021416352 is an apocalyptic number.

12021416352 is a gapful number since it is divisible by the number (12) 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 12021416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043833536).

12021416352 is an abundant number, since it is smaller than the sum of its proper divisors (26066250720).

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

12021416352 is a wasteful number, since it uses less digits than its factorization.

12021416352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80811 (or 80800 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12021416352 its reverse (25361412021), we get a palindrome (37382828373).

The spelling of 12021416352 in words is "twelve billion, twenty-one million, four hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 66 72 88 94 96 99 132 141 144 176 188 198 264 282 288 352 376 396 423 517 528 564 752 792 846 1034 1056 1128 1504 1551 1584 1692 2068 2256 3102 3168 3384 4136 4512 4653 6204 6768 8272 9306 12408 13536 16544 18612 24816 37224 49632 74448 80737 148896 161474 242211 322948 484422 645896 726633 888107 968844 1291792 1453266 1776214 1937688 2583584 2664321 2906532 3552428 3794639 3875376 5328642 5813064 7104856 7589278 7750752 7992963 10657284 11383917 11626128 14209712 15178556 15985926 21314568 22767834 23252256 28419424 30357112 31971852 34151751 41741029 42629136 45535668 60714224 63943704 68303502 83482058 85258272 91071336 121428448 125223087 127887408 136607004 166964116 182142672 250446174 255774816 273214008 333928232 364285344 375669261 500892348 546428016 667856464 751338522 1001784696 1092856032 1335712928 1502677044 2003569392 3005354088 4007138784 6010708176 12021416352