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121288740 = 223531611069
BaseRepresentation
bin1110011101010…
…11100000100100
322110020002212120
413032223200210
5222022214430
620011345540
73001636326
oct716534044
9273202776
10121288740
1162512031
12347522b0
131c1886b1
1412173616
15a9ac610
hex73ab824

121288740 has 96 divisors (see below), whose sum is σ = 356643840. Its totient is φ = 30758400.

The previous prime is 121288721. The next prime is 121288747. The reversal of 121288740 is 47882121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121288747) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 112926 + ... + 113994.

It is an arithmetic number, because the mean of its divisors is an integer number (3715040).

Almost surely, 2121288740 is an apocalyptic number.

121288740 is a gapful number since it is divisible by the number (10) 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 121288740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178321920).

121288740 is an abundant number, since it is smaller than the sum of its proper divisors (235355100).

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

121288740 is a wasteful number, since it uses less digits than its factorization.

121288740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 121288740 is about 11013.1167250692. The cubic root of 121288740 is about 495.0018569464.

The spelling of 121288740 in words is "one hundred twenty-one million, two hundred eighty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 61 62 93 122 124 155 183 186 244 305 310 366 372 465 610 620 732 915 930 1069 1220 1830 1860 1891 2138 3207 3660 3782 4276 5345 5673 6414 7564 9455 10690 11346 12828 16035 18910 21380 22692 28365 32070 33139 37820 56730 64140 65209 66278 99417 113460 130418 132556 165695 195627 198834 260836 326045 331390 391254 397668 497085 652090 662780 782508 978135 994170 1304180 1956270 1988340 2021479 3912540 4042958 6064437 8085916 10107395 12128874 20214790 24257748 30322185 40429580 60644370 121288740