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22010111012120 = 2357119437757247
BaseRepresentation
bin1010000000100101000001…
…10110010010110100011000
32212221010221110221222202012
411000102200312102310120
510341103201404341440
6114451145545125052
74431115032510260
oct500224066226430
985833843858665
1022010111012120
117016487955990
122575859789788
13c387105334ca
1456141b8ca7a0
1528280084de65
hex1404a0d92d18

22010111012120 has 128 divisors (see below), whose sum is σ = 61749273231360. Its totient is φ = 6859558325760.

The previous prime is 22010111012111. The next prime is 22010111012129. The reversal of 22010111012120 is 2121011101022.

It is an interprime number because it is at equal distance from previous prime (22010111012111) and next prime (22010111012129).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22010111012095 and 22010111012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010111012129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28687337 + ... + 29444583.

It is an arithmetic number, because the mean of its divisors is an integer number (482416197120).

Almost surely, 222010111012120 is an apocalyptic number.

22010111012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010111012120 is an abundant number, since it is smaller than the sum of its proper divisors (39739162219240).

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

22010111012120 is a wasteful number, since it uses less digits than its factorization.

22010111012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766713 (or 766709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22010111012120 its reverse (2121011101022), we get a palindrome (24131122113142).

The spelling of 22010111012120 in words is "twenty-two trillion, ten billion, one hundred eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 9437 18874 37748 47185 66059 75496 94370 103807 132118 188740 207614 264236 330295 377480 415228 519035 528472 660590 726649 757247 830456 1038070 1321180 1453298 1514494 2076140 2642360 2906596 3028988 3633245 3786235 4152280 5300729 5813192 6057976 7266490 7572470 8329717 10601458 14532980 15144940 16659434 21202916 26503645 29065960 30289880 33318868 41648585 42405832 53007290 58308019 66637736 83297170 106014580 116616038 166594340 212029160 233232076 291540095 333188680 466464152 583080190 1166160380 2332320760 7146139939 14292279878 28584559756 35730699695 50022979573 57169119512 71461399390 78607539329 100045959146 142922798780 157215078658 200091918292 250114897865 285845597560 314430157316 393037696645 400183836584 500229795730 550252775303 628860314632 786075393290 1000459591460 1100505550606 1572150786580 2000919182920 2201011101212 2751263876515 3144301573160 4402022202424 5502527753030 11005055506060 22010111012120