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12211020002120 = 235538156732113
BaseRepresentation
bin1011000110110001100110…
…0000100111001101001000
31121020100202222102220021112
42301230121200213031020
53100031132110031440
641545355401025452
72400134313310412
oct261543140471510
947210688386245
1012211020002120
1139887344a5775
1214526b1a85288
136a7656b1a774
143030334999b2
15162983a85965
hexb1b19827348

12211020002120 has 32 divisors (see below), whose sum is σ = 27479901379320. Its totient is φ = 4883500200960.

The previous prime is 12211020002119. The next prime is 12211020002143. The reversal of 12211020002120 is 2120002011221.

It can be written as a sum of positive squares in 4 ways, for example, as 11883284361796 + 327735640324 = 3447214^2 + 572482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12211020002095 and 12211020002104.

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 7 ways as a sum of consecutive naturals, for example, 28150817 + ... + 28581296.

Almost surely, 212211020002120 is an apocalyptic number.

12211020002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211020002120 is an abundant number, since it is smaller than the sum of its proper divisors (15268881377200).

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

12211020002120 is a wasteful number, since it uses less digits than its factorization.

12211020002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56737505 (or 56737501 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12211020002120 its reverse (2120002011221), we get a palindrome (14331022013341).

The spelling of 12211020002120 in words is "twelve trillion, two hundred eleven billion, twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5381 10762 21524 26905 43048 53810 107620 215240 56732113 113464226 226928452 283660565 453856904 567321130 1134642260 2269284520 305275500053 610551000106 1221102000212 1526377500265 2442204000424 3052755000530 6105510001060 12211020002120