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1122020199870 = 2351947136130773
BaseRepresentation
bin10000010100111101100…
…111011000110110111110
310222021010111221211012220
4100110331213120312332
5121340344132343440
62215240550510210
7144030464223663
oct20247547306676
93867114854186
101122020199870
113a2934174089
12161556365366
1381a62b8063b
143c43dbc5a6a
151e2bdc6e8d0
hex1053d9d8dbe

1122020199870 has 128 divisors (see below), whose sum is σ = 2897108674560. Its totient is φ = 277213870080.

The previous prime is 1122020199847. The next prime is 1122020199871. The reversal of 1122020199870 is 789910202211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122020199871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36445804 + ... + 36476576.

It is an arithmetic number, because the mean of its divisors is an integer number (22633661520).

Almost surely, 21122020199870 is an apocalyptic number.

1122020199870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122020199870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448554337280).

1122020199870 is an abundant number, since it is smaller than the sum of its proper divisors (1775088474690).

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

1122020199870 is a wasteful number, since it uses less digits than its factorization.

1122020199870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32210.

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 1122020199870 in words is "one trillion, one hundred twenty-two billion, twenty million, one hundred ninety-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 47 57 94 95 114 141 190 235 282 285 470 570 705 893 1361 1410 1786 2679 2722 4083 4465 5358 6805 8166 8930 13395 13610 20415 25859 26790 30773 40830 51718 61546 63967 77577 92319 127934 129295 153865 155154 184638 191901 258590 307730 319835 383802 387885 461595 584687 639670 775770 923190 959505 1169374 1215373 1446331 1754061 1919010 2430746 2892662 2923435 3508122 3646119 4338993 5846870 6076865 7231655 7292238 8677986 8770305 12153730 14463310 17540610 18230595 21694965 27480289 36461190 41882053 43389930 54960578 82440867 83764106 125646159 137401445 164881734 209410265 251292318 274802890 412204335 418820530 628230795 795759007 824408670 1256461590 1591518014 1968456491 2387277021 3936912982 3978795035 4774554042 5905369473 7957590070 9842282455 11810738946 11936385105 19684564910 23872770210 29526847365 37400673329 59053694730 74801346658 112202019987 187003366645 224404039974 374006733290 561010099935 1122020199870