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121337004288 = 283672358073
BaseRepresentation
bin111000100000000111…
…1111100000100000000
3102121012011222110120210
41301000033330010000
53441444233114123
6131424053034120
711523562343043
oct1610017740400
9377164873523
10121337004288
1147505637245
121b623625940
13b5991aa476
145c30b3ac5a
153252554e93
hex1c403fc100

121337004288 has 72 divisors (see below), whose sum is σ = 327753421408. Its totient is φ = 39841984512.

The previous prime is 121337004251. The next prime is 121337004317. The reversal of 121337004288 is 882400733121.

It is a super-2 number, since 2×1213370042882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127581 + ... + 1230492.

Almost surely, 2121337004288 is an apocalyptic number.

It is an amenable number.

121337004288 is an abundant number, since it is smaller than the sum of its proper divisors (206416417120).

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

121337004288 is an equidigital number, since it uses as much as digits as its factorization.

121337004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358159 (or 2358145 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 121337004288 in words is "one hundred twenty-one billion, three hundred thirty-seven million, four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1608 2144 3216 4288 6432 8576 12864 17152 25728 51456 2358073 4716146 7074219 9432292 14148438 18864584 28296876 37729168 56593752 75458336 113187504 150916672 157990891 226375008 301833344 315981782 452750016 473972673 603666688 631963564 905500032 947945346 1263927128 1811000064 1895890692 2527854256 3791781384 5055708512 7583562768 10111417024 15167125536 20222834048 30334251072 40445668096 60668502144 121337004288