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12111334200020 = 22511114474809253
BaseRepresentation
bin1011000000111110001111…
…0001011101001011010100
31120212211110201000110112002
42300033203301131023110
53041413003023400040
641431511540214432
72360005103053646
oct260174361351324
946784421013462
1012111334200020
11394a42a461160
12143731139a418
1369b12b43a353
142dc298066896
1516009c211a15
hexb03e3c5d2d4

12111334200020 has 48 divisors (see below), whose sum is σ = 27748395255168. Its totient is φ = 4403735871360.

The previous prime is 12111334199989. The next prime is 12111334200073. The reversal of 12111334200020 is 2000243311121.

12111334200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121113342000202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12111334199965 and 12111334200001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113714 + ... + 4922966.

It is an arithmetic number, because the mean of its divisors is an integer number (578091567816).

Almost surely, 212111334200020 is an apocalyptic number.

12111334200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111334200020 is an abundant number, since it is smaller than the sum of its proper divisors (15637061055148).

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

12111334200020 is a wasteful number, since it uses less digits than its factorization.

12111334200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820720 (or 4820718 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12111334200020 its reverse (2000243311121), we get a palindrome (14111577511141).

The spelling of 12111334200020 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-four million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 11447 22894 45788 57235 114470 125917 228940 251834 503668 629585 1259170 2518340 4809253 9618506 19237012 24046265 48092530 52901783 96185060 105803566 211607132 264508915 529017830 1058035660 55051519091 110103038182 220206076364 275257595455 550515190910 605566710001 1101030381820 1211133420002 2422266840004 3027833550005 6055667100010 12111334200020