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121332512 = 25731101173
BaseRepresentation
bin1110011101101…
…10001100100000
322110022022220202
413032312030200
5222030120022
620012324332
73002211050
oct716661440
9273268822
10121332512
1162541a04
12347736a8
131c1a25b2
1412185560
15a9ba592
hex73b6320

121332512 has 96 divisors (see below), whose sum is σ = 286239744. Its totient is φ = 49536000.

The previous prime is 121332503. The next prime is 121332551. The reversal of 121332512 is 215233121.

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 15 ways as a sum of consecutive naturals, for example, 701258 + ... + 701430.

It is an arithmetic number, because the mean of its divisors is an integer number (2981664).

Almost surely, 2121332512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121332512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143119872).

121332512 is an abundant number, since it is smaller than the sum of its proper divisors (164907232).

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

121332512 is a wasteful number, since it uses less digits than its factorization.

121332512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 121332512 is about 11015.1038124931. The cubic root of 121332512 is about 495.0613970029.

Adding to 121332512 its reverse (215233121), we get a palindrome (336565633).

The spelling of 121332512 in words is "one hundred twenty-one million, three hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 101 112 124 173 202 217 224 248 346 404 434 496 692 707 808 868 992 1211 1384 1414 1616 1736 2422 2768 2828 3131 3232 3472 4844 5363 5536 5656 6262 6944 9688 10726 11312 12524 17473 19376 21452 21917 22624 25048 34946 37541 38752 42904 43834 50096 69892 75082 85808 87668 100192 122311 139784 150164 171616 175336 244622 279568 300328 350672 489244 541663 559136 600656 701344 978488 1083326 1201312 1956976 2166652 3791641 3913952 4333304 7583282 8666608 15166564 17333216 30333128 60666256 121332512