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1220321322240 = 2835337943003
BaseRepresentation
bin10001110000100000110…
…100011010010100000000
311022122212021212020110220
4101300200310122110000
5124443204224302430
62332335145023040
7154110462043326
oct21604064322400
94278767766426
101220321322240
11430598633289
1217860b184a80
138b0ca717637
14430c7373d16
1521b23c78110
hex11c20d1a500

1220321322240 has 144 divisors (see below), whose sum is σ = 3908970356928. Its totient is φ = 324453040128.

The previous prime is 1220321322223. The next prime is 1220321322251. The reversal of 1220321322240 is 422231230221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1220321322240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822579 + ... + 1765581.

Almost surely, 21220321322240 is an apocalyptic number.

1220321322240 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 1220321322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954485178464).

1220321322240 is an abundant number, since it is smaller than the sum of its proper divisors (2688649034688).

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

1220321322240 is an equidigital number, since it uses as much as digits as its factorization.

1220321322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943364 (or 943350 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1220321322240 its reverse (422231230221), we get a palindrome (1642552552461).

The spelling of 1220321322240 in words is "one trillion, two hundred twenty billion, three hundred twenty-one million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 337 384 480 640 674 768 960 1011 1280 1348 1685 1920 2022 2696 3370 3840 4044 5055 5392 6740 8088 10110 10784 13480 16176 20220 21568 26960 32352 40440 43136 53920 64704 80880 86272 107840 129408 161760 215680 258816 323520 431360 647040 943003 1294080 1886006 2829009 3772012 4715015 5658018 7544024 9430030 11316036 14145045 15088048 18860060 22632072 28290090 30176096 37720120 45264144 56580180 60352192 75440240 90528288 113160360 120704384 150880480 181056576 226320720 241408768 301760960 317792011 362113152 452641440 603521920 635584022 724226304 905282880 953376033 1207043840 1271168044 1588960055 1810565760 1906752066 2542336088 3177920110 3621131520 3813504132 4766880165 5084672176 6355840220 7627008264 9533760330 10169344352 12711680440 15254016528 19067520660 20338688704 25423360880 30508033056 38135041320 40677377408 50846721760 61016066112 76270082640 81354754816 101693443520 122032132224 152540165280 203386887040 244064264448 305080330560 406773774080 610160661120 1220321322240