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121202121022120 = 23513784649261281
BaseRepresentation
bin11011100011101110010001…
…010111101001101010101000
3120220010210212012120020021201
4123203232101113221222220
5111341233420440201440
61105435252530213544
734346364355241155
oct3343562127515250
9526123765506251
10121202121022120
1135689592647646
12117159491242b4
135282407282c48
1421d02dd15722c
15e02b2a65c19a
hex6e3b915e9aa8

121202121022120 has 64 divisors (see below), whose sum is σ = 274699614546000. Its totient is φ = 48126220861440.

The previous prime is 121202121022039. The next prime is 121202121022123. The reversal of 121202121022120 is 21220121202121.

It can be written as a sum of positive squares in 8 ways, for example, as 16046161246756 + 105155959775364 = 4005766^2 + 10254558^2 .

It is not an unprimeable number, because it can be changed into a prime (121202121022123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463745880 + ... + 464007160.

Almost surely, 2121202121022120 is an apocalyptic number.

121202121022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121202121022120 is an abundant number, since it is smaller than the sum of its proper divisors (153497493523880).

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

121202121022120 is a wasteful number, since it uses less digits than its factorization.

121202121022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346078 (or 346074 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 121202121022120 its reverse (21220121202121), we get a palindrome (142422242224241).

The spelling of 121202121022120 in words is "one hundred twenty-one trillion, two hundred two billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 5480 84649 169298 261281 338596 423245 522562 677192 846490 1045124 1306405 1692980 2090248 2612810 3385960 5225620 10451240 11596913 23193826 35795497 46387652 57984565 71590994 92775304 115969130 143181988 178977485 231938260 286363976 357954970 463876520 715909940 1431819880 22117175369 44234350738 88468701476 110585876845 176937402952 221171753690 442343507380 884687014760 3030053025553 6060106051106 12120212102212 15150265127765 24240424204424 30300530255530 60601060511060 121202121022120