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12211222210220 = 22511226891876519
BaseRepresentation
bin1011000110110010010110…
…0011111110011010101100
31121020101022001221010122102
42301230211203332122230
53100032040341211340
641545431423034232
72400142320122405
oct261544543763254
947211261833572
1012211222210220
113988828656700
12145274973b978
136a7689998b27
143030522949ac
151629966c9215
hexb1b258fe6ac

12211222210220 has 72 divisors (see below), whose sum is σ = 28197227536800. Its totient is φ = 4438790737920.

The previous prime is 12211222210183. The next prime is 12211222210273. The reversal of 12211222210220 is 2201222211221.

It is a super-2 number, since 2×122112222102202 (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 = 12211222210192 and 12211222210201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5569121 + ... + 7445639.

Almost surely, 212211222210220 is an apocalyptic number.

12211222210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211222210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14098613768400).

12211222210220 is an abundant number, since it is smaller than the sum of its proper divisors (15986005326580).

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

12211222210220 is a wasteful number, since it uses less digits than its factorization.

12211222210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879239 (or 1879226 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12211222210220 its reverse (2201222211221), we get a palindrome (14412444421441).

The spelling of 12211222210220 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 2689 5378 10756 13445 26890 29579 53780 59158 118316 147895 295790 325369 591580 650738 1301476 1626845 1876519 3253690 3753038 6507380 7506076 9382595 18765190 20641709 37530380 41283418 82566836 103208545 206417090 227058799 412834180 454117598 908235196 1135293995 2270587990 4541175980 5045959591 10091919182 20183838364 25229797955 50459595910 55505555501 100919191820 111011111002 222022222004 277527777505 555055555010 610561110511 1110111110020 1221122221022 2442244442044 3052805552555 6105611105110 12211222210220