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121234896 = 24321973607
BaseRepresentation
bin1110011100111…
…10010111010000
322110010101000100
413032132113100
5222014004041
620010252400
73001323336
oct716362720
9273111010
10121234896
1162485632
1234727100
131c16a033
141215bb56
15a99b6b6
hex739e5d0

121234896 has 120 divisors (see below), whose sum is σ = 362635520. Its totient is φ = 37698048.

The previous prime is 121234891. The next prime is 121234913. The reversal of 121234896 is 698432121.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121234896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121234891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199425 + ... + 200031.

Almost surely, 2121234896 is an apocalyptic number.

121234896 is a gapful number since it is divisible by the number (16) 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 121234896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181317760).

121234896 is an abundant number, since it is smaller than the sum of its proper divisors (241400624).

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

121234896 is a wasteful number, since it uses less digits than its factorization.

121234896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 121234896 is about 11010.6719141022. The cubic root of 121234896 is about 494.9285969857.

The spelling of 121234896 in words is "one hundred twenty-one million, two hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 73 76 114 144 146 152 171 219 228 292 304 342 438 456 584 607 657 684 876 912 1168 1214 1314 1368 1387 1752 1821 2428 2628 2736 2774 3504 3642 4161 4856 5256 5463 5548 7284 8322 9712 10512 10926 11096 11533 12483 14568 16644 21852 22192 23066 24966 29136 33288 34599 43704 44311 46132 49932 66576 69198 87408 88622 92264 99864 103797 132933 138396 177244 184528 199728 207594 265866 276792 354488 398799 415188 531732 553584 708976 797598 830376 841909 1063464 1595196 1660752 1683818 2126928 2525727 3190392 3367636 5051454 6380784 6735272 7577181 10102908 13470544 15154362 20205816 30308724 40411632 60617448 121234896