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202121022120120 = 233254113693836187
BaseRepresentation
bin101101111101001111110111…
…101110011010000010111000
3222111122120200112221121020200
4231331033313232122002320
5202443022323130320440
61553513040554322200
760400522231005165
oct5575176756320270
9874576615847220
10202121022120120
1159447053780224
121a8044a9429360
1388a1c136c0bcc
1437ca9d148506c
151857971b22c30
hexb7d3f7b9a0b8

202121022120120 has 96 divisors (see below), whose sum is σ = 672915110278320. Its totient is φ = 52584330954240.

The previous prime is 202121022120077. The next prime is 202121022120137. The reversal of 202121022120120 is 21021220121202.

It is a happy number.

202121022120120 is a `hidden beast` number, since 2 + 0 + 212 + 10 + 221 + 201 + 20 = 666.

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 = 202121022120093 and 202121022120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6846903334 + ... + 6846932853.

Almost surely, 2202121022120120 is an apocalyptic number.

202121022120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121022120120 is an abundant number, since it is smaller than the sum of its proper divisors (470794088158200).

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

202121022120120 is a wasteful number, since it uses less digits than its factorization.

202121022120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13693836245 (or 13693836238 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202121022120120 its reverse (21021220121202), we get a palindrome (223142242241322).

The spelling of 202121022120120 in words is "two hundred two trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 13693836187 27387672374 41081508561 54775344748 68469180935 82163017122 109550689496 123244525683 136938361870 164326034244 205407542805 246489051366 273876723740 328652068488 410815085610 492978102732 547753447480 561447283667 616222628415 821630171220 985956205464 1122894567334 1232445256830 1643260342440 1684341851001 2245789134668 2464890513660 2807236418335 3368683702002 4491578269336 4929781027320 5053025553003 5614472836670 6737367404004 8421709255005 10106051106006 11228945673340 13474734808008 16843418510010 20212102212012 22457891346680 25265127765015 33686837020020 40424204424024 50530255530030 67373674040040 101060511060060 202121022120120