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12011221000212 = 2237273927641741
BaseRepresentation
bin1010111011001001010010…
…0011111010000000010100
31120112021001122100222022220
42232302110203322000110
53033242440034001322
641313513451022340
72346532152645600
oct256622443720024
946467048328286
1012011221000212
113910a261393a5
12141ba3173a9b0
13691865344c95
142d74bbd7a500
1515c68d0b655c
hexaec948fa014

12011221000212 has 72 divisors (see below), whose sum is σ = 32646002971680. Its totient is φ = 3427133492160.

The previous prime is 12011221000189. The next prime is 12011221000223. The reversal of 12011221000212 is 21200012211021.

It is a junction number, because it is equal to n+sod(n) for n = 12011221000191 and 12011221000200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13386339 + ... + 14255402.

It is an arithmetic number, because the mean of its divisors is an integer number (453416707940).

Almost surely, 212011221000212 is an apocalyptic number.

12011221000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011221000212 is an abundant number, since it is smaller than the sum of its proper divisors (20634781971468).

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

12011221000212 is a wasteful number, since it uses less digits than its factorization.

12011221000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27642501 (or 27642492 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12011221000212 its reverse (21200012211021), we get a palindrome (33211233211233).

The spelling of 12011221000212 in words is "twelve trillion, eleven billion, two hundred twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 739 1478 2217 2956 4434 5173 8868 10346 15519 20692 31038 36211 62076 72422 108633 144844 217266 434532 27641741 55283482 82925223 110566964 165850446 193492187 331700892 386984374 580476561 773968748 1160953122 1354445309 2321906244 2708890618 4063335927 5417781236 8126671854 16253343708 20427246599 40854493198 61281739797 81708986396 122563479594 142990726193 245126959188 285981452386 428972178579 571962904772 857944357158 1000935083351 1715888714316 2001870166702 3002805250053 4003740333404 6005610500106 12011221000212