Search a number
-
+
12200011021020 = 2235265776527481
BaseRepresentation
bin1011000110001000100101…
…0100101011101011011100
31121012022100202002201021210
42301202021110223223130
53044341110310133040
641540335132224420
72366264434440534
oct261421124535334
947168322081253
1012200011021020
113983aa5193289
12145053b00b110
136a65c109a274
143026ab32c4c4
1516253c320480
hexb188952badc

12200011021020 has 48 divisors (see below), whose sum is σ = 34172887922208. Its totient is φ = 3252111790080.

The previous prime is 12200011021001. The next prime is 12200011021049. The reversal of 12200011021020 is 2012011000221.

It is a super-3 number, since 3×122000110210203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12200011020987 and 12200011021005.

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, 38104321 + ... + 38423160.

It is an arithmetic number, because the mean of its divisors is an integer number (711935165046).

Almost surely, 212200011021020 is an apocalyptic number.

12200011021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200011021020 is an abundant number, since it is smaller than the sum of its proper divisors (21972876901188).

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

12200011021020 is a wasteful number, since it uses less digits than its factorization.

12200011021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76530150 (or 76530148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12200011021020 its reverse (2012011000221), we get a palindrome (14212022021241).

The spelling of 12200011021020 in words is "twelve trillion, two hundred billion, eleven million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2657 5314 7971 10628 13285 15942 26570 31884 39855 53140 79710 159420 76527481 153054962 229582443 306109924 382637405 459164886 765274810 918329772 1147912215 1530549620 2295824430 4591648860 203333517017 406667034034 610000551051 813334068068 1016667585085 1220001102102 2033335170170 2440002204204 3050002755255 4066670340340 6100005510510 12200011021020