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12200222221020 = 223457531001371
BaseRepresentation
bin1011000110001001010111…
…1010010110001011011100
31121012022220110111210020000
42301202111322112023130
53044342023342033040
641540412115054300
72366302610553141
oct261422572261334
947168813453200
1012200222221020
1139840a3425a39
1214505998a1390
136a6625a76392
143026cb3c83c8
15162550b3d130
hexb1895e962dc

12200222221020 has 60 divisors (see below), whose sum is σ = 38272548972504. Its totient is φ = 3253392591840.

The previous prime is 12200222221001. The next prime is 12200222221021. The reversal of 12200222221020 is 2012222200221.

12200222221020 is a `hidden beast` number, since 1 + 2 + 200 + 222 + 221 + 0 + 20 = 666.

12200222221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12200222220984 and 12200222221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200222221021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3765499066 + ... + 3765502305.

Almost surely, 212200222221020 is an apocalyptic number.

12200222221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200222221020 is an abundant number, since it is smaller than the sum of its proper divisors (26072326751484).

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

12200222221020 is a wasteful number, since it uses less digits than its factorization.

12200222221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531001392 (or 7531001381 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12200222221020 its reverse (2012222200221), we get a palindrome (14212444421241).

The spelling of 12200222221020 in words is "twelve trillion, two hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7531001371 15062002742 22593004113 30124005484 37655006855 45186008226 67779012339 75310013710 90372016452 112965020565 135558024678 150620027420 203337037017 225930041130 271116049356 338895061695 406674074034 451860082260 610011111051 677790123390 813348148068 1016685185085 1220022222102 1355580246780 2033370370170 2440044444204 3050055555255 4066740740340 6100111110510 12200222221020