Search a number
-
+
1120220012120 = 2351129412141257
BaseRepresentation
bin10000010011010010010…
…100001101111001011000
310222002111001120210212112
4100103102110031321120
5121323202310341440
62214342202331452
7143635044665126
oct20232224157130
93862431523775
101120220012120
113a209aaa1410
121611334b9b88
1381836c25ca1
143c30caa0916
151e215bca965
hex104d250de58

1120220012120 has 128 divisors (see below), whose sum is σ = 2913823886400. Its totient is φ = 383713075200.

The previous prime is 1120220012117. The next prime is 1120220012173. The reversal of 1120220012120 is 212100220211.

It is a junction number, because it is equal to n+sod(n) for n = 1120220012095 and 1120220012104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547469 + ... + 1593788.

Almost surely, 21120220012120 is an apocalyptic number.

1120220012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120220012120 is an abundant number, since it is smaller than the sum of its proper divisors (1793603874280).

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

1120220012120 is a wasteful number, since it uses less digits than its factorization.

1120220012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141349 (or 2141345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1120220012120 its reverse (212100220211), we get a palindrome (1332320232331).

The spelling of 1120220012120 in words is "one trillion, one hundred twenty billion, two hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 41 44 55 58 82 88 110 116 145 164 205 220 232 290 319 328 410 440 451 580 638 820 902 1160 1189 1276 1595 1640 1804 2255 2378 2552 3190 3608 4510 4756 5945 6380 9020 9512 11890 12760 13079 18040 23780 26158 47560 52316 65395 104632 130790 261580 523160 2141257 4282514 8565028 10706285 17130056 21412570 23553827 42825140 47107654 62096453 85650280 87791537 94215308 117769135 124192906 175583074 188430616 235538270 248385812 310482265 351166148 438957685 471076540 496771624 620964530 683060983 702332296 877915370 942153080 965706907 1241929060 1366121966 1755830740 1931413814 2483858120 2545954573 2732243932 3415304915 3511661480 3862827628 4828534535 5091909146 5464487864 6830609830 7725655256 9657069070 10183818292 12729772865 13661219660 19314138140 20367636584 25459545730 27322439320 28005500303 38628276280 50919091460 56011000606 101838182920 112022001212 140027501515 224044002424 280055003030 560110006060 1120220012120