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1022200120020 = 2235311768331079
BaseRepresentation
bin11101101111111111110…
…00000000001011010100
310121201110212212101000110
432313333320000023110
5113221431212320040
62101331532043020
7133565033442012
oct16677770001324
93551425771013
101022200120020
11364570356722
12146138903470
1375515717631
14376909db8b2
151b8ca724980
hexedffe002d4

1022200120020 has 96 divisors (see below), whose sum is σ = 2954750238720. Its totient is φ = 263770174080.

The previous prime is 1022200120013. The next prime is 1022200120031. The reversal of 1022200120020 is 200210022201.

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 = 1022200119978 and 1022200120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32874841 + ... + 32905919.

It is an arithmetic number, because the mean of its divisors is an integer number (30778648320).

Almost surely, 21022200120020 is an apocalyptic number.

1022200120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022200120020 is an abundant number, since it is smaller than the sum of its proper divisors (1932550118700).

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

1022200120020 is a wasteful number, since it uses less digits than its factorization.

1022200120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48805 (or 48803 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022200120020 its reverse (200210022201), we get a palindrome (1222410142221).

The spelling of 1022200120020 in words is "one trillion, twenty-two billion, two hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 17683 31079 35366 53049 62158 70732 88415 93237 106098 124316 155395 176830 186474 212196 265245 310790 353660 372948 466185 530490 548173 621580 932370 963449 1060980 1096346 1644519 1864740 1926898 2192692 2740865 2890347 3289038 3853796 4817245 5481730 5780694 6578076 8222595 9634490 10963460 11561388 14451735 16445190 19268980 28903470 32890380 57806940 549569957 1099139914 1648709871 2198279828 2747849785 3297419742 5495699570 6594839484 8243549355 10991399140 16487098710 17036668667 32974197420 34073337334 51110006001 68146674668 85183343335 102220012002 170366686670 204440024004 255550030005 340733373340 511100060010 1022200120020