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121051152 = 24331753311
BaseRepresentation
bin1110011011100…
…01100000010000
322102210000222000
413031301200100
5221442114102
620002314000
72666626545
oct715614020
9272700860
10121051152
116236a582
1234658900
131c104501
1412110bcc
15a96201c
hex7371810

121051152 has 160 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 37140480.

The previous prime is 121051129. The next prime is 121051157. The reversal of 121051152 is 251150121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121051157) 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 31 ways as a sum of consecutive naturals, for example, 389077 + ... + 389387.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 2121051152 is an apocalyptic number.

121051152 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 121051152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

121051152 is an abundant number, since it is smaller than the sum of its proper divisors (254996208).

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

121051152 is a wasteful number, since it uses less digits than its factorization.

121051152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 121051152 is about 11002.3248452316. The cubic root of 121051152 is about 494.6784320994.

The spelling of 121051152 in words is "one hundred twenty-one million, fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 53 54 68 72 102 106 108 136 144 153 159 204 212 216 272 306 311 318 408 424 432 459 477 612 622 636 816 848 901 918 933 954 1224 1244 1272 1431 1802 1836 1866 1908 2448 2488 2544 2703 2799 2862 3604 3672 3732 3816 4976 5287 5406 5598 5724 7208 7344 7464 7632 8109 8397 10574 10812 11196 11448 14416 14928 15861 16218 16483 16794 21148 21624 22392 22896 24327 31722 32436 32966 33588 42296 43248 44784 47583 48654 49449 63444 64872 65932 67176 84592 95166 97308 98898 126888 129744 131864 134352 142749 148347 190332 194616 197796 253776 263728 280211 285498 296694 380664 389232 395592 445041 560422 570996 593388 761328 791184 840633 890082 1120844 1141992 1186776 1681266 1780164 2241688 2283984 2373552 2521899 3362532 3560328 4483376 5043798 6725064 7120656 7565697 10087596 13450128 15131394 20175192 30262788 40350384 60525576 121051152