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12011221120020 = 22357871513116811
BaseRepresentation
bin1010111011001001010010…
…0100010111010000010100
31120112021001122121001200020
42232302110210113100110
53033242440101320040
641313513453345140
72346532153655103
oct256622444272024
946467048531606
1012011221120020
113910a26210411
12141ba317981b0
13691865387685
142d74bbdac03a
1515c68d0dbcd0
hexaec94917414

12011221120020 has 96 divisors (see below), whose sum is σ = 33678381574656. Its totient is φ = 3198520732800.

The previous prime is 12011221120007. The next prime is 12011221120033. The reversal of 12011221120020 is 2002112211021.

It is an interprime number because it is at equal distance from previous prime (12011221120007) and next prime (12011221120033).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 714477415 + ... + 714494225.

It is an arithmetic number, because the mean of its divisors is an integer number (350816474736).

Almost surely, 212011221120020 is an apocalyptic number.

12011221120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011221120020 is an abundant number, since it is smaller than the sum of its proper divisors (21667160454636).

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

12011221120020 is a wasteful number, since it uses less digits than its factorization.

12011221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32741 (or 32739 counting only the distinct ones).

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

Adding to 12011221120020 its reverse (2002112211021), we get a palindrome (14013333331041).

The spelling of 12011221120020 in words is "twelve trillion, eleven billion, two hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 787 1574 2361 3148 3935 4722 7870 9444 11805 15131 15740 16811 23610 30262 33622 45393 47220 50433 60524 67244 75655 84055 90786 100866 151310 168110 181572 201732 226965 252165 302620 336220 453930 504330 907860 1008660 11908097 13230257 23816194 26460514 35724291 39690771 47632388 52921028 59540485 66151285 71448582 79381542 119080970 132302570 142897164 158763084 178621455 198453855 238161940 254367241 264605140 357242910 396907710 508734482 714485820 763101723 793815420 1017468964 1271836205 1526203446 2543672410 3052406892 3815508615 5087344820 7631017230 15262034460 200187018667 400374037334 600561056001 800748074668 1000935093335 1201122112002 2001870186670 2402244224004 3002805280005 4003740373340 6005610560010 12011221120020