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1122613060120 = 2351731274119429
BaseRepresentation
bin10000010101100000111…
…100111110001000011000
310222022122211112020120221
4100111200330332020120
5121343102420410440
62215415445525424
7144051253365346
oct20254074761030
93868584466527
101122613060120
113a3108895832
121616a0a13874
1381b28949516
143c498830996
151e305d2bd4a
hex10560f3e218

1122613060120 has 128 divisors (see below), whose sum is σ = 2761882790400. Its totient is φ = 408827289600.

The previous prime is 1122613060117. The next prime is 1122613060159. The reversal of 1122613060120 is 210603162211.

It is a happy number.

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, 57770566 + ... + 57789994.

It is an arithmetic number, because the mean of its divisors is an integer number (21577209300).

Almost surely, 21122613060120 is an apocalyptic number.

1122613060120 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 1122613060120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380941395200).

1122613060120 is an abundant number, since it is smaller than the sum of its proper divisors (1639269730280).

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

1122613060120 is a wasteful number, since it uses less digits than its factorization.

1122613060120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22229 (or 22225 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 1122613060120 in words is "one trillion, one hundred twenty-two billion, six hundred thirteen million, sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 2741 4216 5270 5482 10540 10964 13705 19429 21080 21928 27410 38858 46597 54820 77716 84971 93194 97145 109640 155432 169942 186388 194290 232985 330293 339884 372776 388580 424855 465970 602299 660586 679768 777160 849710 931940 1204598 1321172 1444507 1651465 1699420 1863880 2409196 2642344 2889014 3011495 3302930 3398840 4818392 5778028 6022990 6605860 7222535 10239083 11556056 12045980 13211720 14445070 20478166 24091960 28890140 40956332 51195415 53254889 57780280 81912664 102390830 106509778 204781660 213019556 266274445 409563320 426039112 532548890 905333113 1065097780 1650901559 1810666226 2130195560 3301803118 3621332452 4526665565 6603606236 7242664904 8254507795 9053331130 13207212472 16509015590 18106662260 28065326503 33018031180 36213324520 56130653006 66036062360 112261306012 140326632515 224522612024 280653265030 561306530060 1122613060120