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121009744512 = 2732331317351
BaseRepresentation
bin111000010110010111…
…1100010101010000000
3102120100101011221120100
41300230233202222000
53440311443311022
6131331402442400
711512506566646
oct1605457425200
9376311157510
10121009744512
1147357934118
121b551b03400
13b546456a27
145bdd4ad196
15323395e1ac
hex1c2cbe2a80

121009744512 has 96 divisors (see below), whose sum is σ = 349271264160. Its totient is φ = 40214592000.

The previous prime is 121009744487. The next prime is 121009744517. The reversal of 121009744512 is 215447900121.

121009744512 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 97 + 44 + 512 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121009744517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222637 + ... + 539987.

It is an arithmetic number, because the mean of its divisors is an integer number (3638242335).

Almost surely, 2121009744512 is an apocalyptic number.

121009744512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121009744512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174635632080).

121009744512 is an abundant number, since it is smaller than the sum of its proper divisors (228261519648).

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

121009744512 is a wasteful number, since it uses less digits than its factorization.

121009744512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317702 (or 317687 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 121009744512 in words is "one hundred twenty-one billion, nine million, seven hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 331 384 576 662 993 1152 1324 1986 2648 2979 3972 5296 5958 7944 10592 11916 15888 21184 23832 31776 42368 47664 63552 95328 127104 190656 317351 381312 634702 952053 1269404 1904106 2538808 2856159 3808212 5077616 5712318 7616424 10155232 11424636 15232848 20310464 22849272 30465696 40620928 45698544 60931392 91397088 105043181 121862784 182794176 210086362 315129543 365588352 420172724 630259086 840345448 945388629 1260518172 1680690896 1890777258 2521036344 3361381792 3781554516 5042072688 6722763584 7563109032 10084145376 13445527168 15126218064 20168290752 30252436128 40336581504 60504872256 121009744512