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12020001221520 = 2432516694446141
BaseRepresentation
bin1010111011101001111111…
…1001110010101110010000
31120120002201112220102122200
42232322133321302232100
53033413430303042040
641321525021403200
72350262556414465
oct256723771625620
946502645812580
1012020001221520
113914721368646
121421682109500
136926344044c6
142d7ab210166c
1515ca03d2d630
hexaee9fe72b90

12020001221520 has 60 divisors (see below), whose sum is σ = 40367170771356. Its totient is φ = 3205333658880.

The previous prime is 12020001221509. The next prime is 12020001221537. The reversal of 12020001221520 is 2512210002021.

12020001221520 is a `hidden beast` number, since 1 + 2 + 0 + 20 + 0 + 0 + 122 + 1 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8475923886336 + 3544077335184 = 2911344^2 + 1882572^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×120200012215202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12020001221493 and 12020001221502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8347222351 + ... + 8347223790.

Almost surely, 212020001221520 is an apocalyptic number.

12020001221520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020001221520 is an abundant number, since it is smaller than the sum of its proper divisors (28347169549836).

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

12020001221520 is a wasteful number, since it uses less digits than its factorization.

12020001221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16694446160 (or 16694446151 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12020001221520 its reverse (2512210002021), we get a palindrome (14532211223541).

The spelling of 12020001221520 in words is "twelve trillion, twenty billion, one million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16694446141 33388892282 50083338423 66777784564 83472230705 100166676846 133555569128 150250015269 166944461410 200333353692 250416692115 267111138256 300500030538 333888922820 400666707384 500833384230 601000061076 667777845640 751250076345 801333414768 1001666768460 1202000122152 1335555691280 1502500152690 2003333536920 2404000244304 3005000305380 4006667073840 6010000610760 12020001221520