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121211200032 = 25313831170173
BaseRepresentation
bin111000011100011000…
…0000010001000100000
3102120212102020221120220
41300320300002020200
53441220031400112
6131403400403040
711520504125556
oct1607060021040
9376772227526
10121211200032
114745062068a
121b5a9476480
13b579100690
145c1c14dbd6
1532464a498c
hex1c38c02220

121211200032 has 96 divisors (see below), whose sum is σ = 346783405248. Its totient is φ = 36846375936.

The previous prime is 121211199983. The next prime is 121211200039. The reversal of 121211200032 is 230002112121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 121211199984 and 121211200020.

It is not an unprimeable number, because it can be changed into a prime (121211200039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481503 + ... + 688670.

It is an arithmetic number, because the mean of its divisors is an integer number (3612327138).

Almost surely, 2121211200032 is an apocalyptic number.

121211200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121211200032 is an abundant number, since it is smaller than the sum of its proper divisors (225572205216).

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

121211200032 is a wasteful number, since it uses less digits than its factorization.

121211200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170282 (or 1170274 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121211200032 its reverse (230002112121), we get a palindrome (351213312153).

The spelling of 121211200032 in words is "one hundred twenty-one billion, two hundred eleven million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 156 166 208 249 312 332 416 498 624 664 996 1079 1248 1328 1992 2158 2656 3237 3984 4316 6474 7968 8632 12948 17264 25896 34528 51792 103584 1170173 2340346 3510519 4680692 7021038 9361384 14042076 15212249 18722768 28084152 30424498 37445536 45636747 56168304 60848996 91273494 97124359 112336608 121697992 182546988 194248718 243395984 291373077 365093976 388497436 486791968 582746154 730187952 776994872 1165492308 1262616667 1460375904 1553989744 2330984616 2525233334 3107979488 3787850001 4661969232 5050466668 7575700002 9323938464 10100933336 15151400004 20201866672 30302800008 40403733344 60605600016 121211200032