Search a number
-
+
1120010022120 = 2335112633226207
BaseRepresentation
bin10000010011000101110…
…011001010110011101000
310222001221102110012202010
4100103011303022303220
5121322240031201440
62214305301435520
7143626615052313
oct20230563126350
93861842405663
101120010022120
113a1aa2505860
1216109510bba0
1381802581852
143c2ccc3b97a
151e20254b580
hex104c5ccace8

1120010022120 has 128 divisors (see below), whose sum is σ = 3679425699840. Its totient is φ = 270485111040.

The previous prime is 1120010022101. The next prime is 1120010022169. The reversal of 1120010022120 is 212200100211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120010022096 and 1120010022105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265944 + ... + 1960263.

It is an arithmetic number, because the mean of its divisors is an integer number (28745513280).

Almost surely, 21120010022120 is an apocalyptic number.

1120010022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120010022120 is an abundant number, since it is smaller than the sum of its proper divisors (2559415677720).

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

1120010022120 is a wasteful number, since it uses less digits than its factorization.

1120010022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226495 (or 3226491 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1120010022120 its reverse (212200100211), we get a palindrome (1332210122331).

The spelling of 1120010022120 in words is "one trillion, one hundred twenty billion, ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 263 264 330 440 526 660 789 1052 1315 1320 1578 2104 2630 2893 3156 3945 5260 5786 6312 7890 8679 10520 11572 14465 15780 17358 23144 28930 31560 34716 43395 57860 69432 86790 115720 173580 347160 3226207 6452414 9678621 12904828 16131035 19357242 25809656 32262070 35488277 38714484 48393105 64524140 70976554 77428968 96786210 106464831 129048280 141953108 177441385 193572420 212929662 283906216 354882770 387144840 425859324 532324155 709765540 848492441 851718648 1064648310 1419531080 1696984882 2129296620 2545477323 3393969764 4242462205 4258593240 5090954646 6787939528 8484924410 9333416851 10181909292 12727386615 16969848820 18666833702 20363818584 25454773230 28000250553 33939697640 37333667404 46667084255 50909546460 56000501106 74667334808 93334168510 101819092920 112001002212 140001252765 186668337020 224002004424 280002505530 373336674040 560005011060 1120010022120