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1122002100120 = 233511978762903
BaseRepresentation
bin10000010100111100100…
…010010101111110011000
310222021002020220021000210
4100110330202111332120
5121340330014200440
62215235102531120
7144030154331016
oct20247442257630
93867066807023
101122002100120
113a2924a31510
12161550296aa0
1381a5c1b4125
143c43b6338b6
151e2bc396a80
hex1053c895f98

1122002100120 has 128 divisors (see below), whose sum is σ = 3709863037440. Its totient is φ = 269196349440.

The previous prime is 1122002100101. The next prime is 1122002100133. The reversal of 1122002100120 is 210012002211.

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 = 1122002100096 and 1122002100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4253412 + ... + 4509491.

It is an arithmetic number, because the mean of its divisors is an integer number (28983304980).

Almost surely, 21122002100120 is an apocalyptic number.

1122002100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122002100120 is an abundant number, since it is smaller than the sum of its proper divisors (2587860937320).

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

1122002100120 is a wasteful number, since it uses less digits than its factorization.

1122002100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8763025 (or 8763021 counting only the distinct ones).

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

Adding to 1122002100120 its reverse (210012002211), we get a palindrome (1332014102331).

The spelling of 1122002100120 in words is "one trillion, one hundred twenty-two billion, two million, one hundred 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 97 110 120 132 165 194 220 264 291 330 388 440 485 582 660 776 970 1067 1164 1320 1455 1940 2134 2328 2910 3201 3880 4268 5335 5820 6402 8536 10670 11640 12804 16005 21340 25608 32010 42680 64020 128040 8762903 17525806 26288709 35051612 43814515 52577418 70103224 87629030 96391933 105154836 131443545 175258060 192783866 210309672 262887090 289175799 350516120 385567732 481959665 525774180 578351598 771135464 850001591 963919330 1051548360 1156703196 1445878995 1700003182 1927838660 2313406392 2550004773 2891757990 3400006364 3855677320 4250007955 5100009546 5783515980 6800012728 8500015910 9350017501 10200019092 11567031960 12750023865 17000031820 18700035002 20400038184 25500047730 28050052503 34000063640 37400070004 46750087505 51000095460 56100105006 74800140008 93500175010 102000190920 112200210012 140250262515 187000350020 224400420024 280500525030 374000700040 561001050060 1122002100120