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1200020122320 = 2435171631804433
BaseRepresentation
bin10001011101100110110…
…001011110101011010000
311020201110110120102121120
4101131212301132223100
5124130120122403240
62315140455522240
7152461421511465
oct21354661365320
94221413512546
101200020122320
11422a20090308
121746a4389380
13892138119c6
144211d08566c
1521336862ad0
hex11766c5ead0

1200020122320 has 160 divisors (see below), whose sum is σ = 3963056740992. Its totient is φ = 299333615616.

The previous prime is 1200020122309. The next prime is 1200020122331. The reversal of 1200020122320 is 232210200021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1200020122309) and next prime (1200020122331).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1200020122320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237177 + ... + 1567256.

Almost surely, 21200020122320 is an apocalyptic number.

1200020122320 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 1200020122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981528370496).

1200020122320 is an abundant number, since it is smaller than the sum of its proper divisors (2763036618672).

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

1200020122320 is a wasteful number, since it uses less digits than its factorization.

1200020122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804629 (or 1804623 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1200020122320 its reverse (232210200021), we get a palindrome (1432230322341).

The spelling of 1200020122320 in words is "one trillion, two hundred billion, twenty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 163 170 204 240 255 272 326 340 408 489 510 652 680 815 816 978 1020 1304 1360 1630 1956 2040 2445 2608 2771 3260 3912 4080 4890 5542 6520 7824 8313 9780 11084 13040 13855 16626 19560 22168 27710 33252 39120 41565 44336 55420 66504 83130 110840 133008 166260 221680 332520 665040 1804433 3608866 5413299 7217732 9022165 10826598 14435464 18044330 21653196 27066495 28870928 30675361 36088660 43306392 54132990 61350722 72177320 86612784 92026083 108265980 122701444 144354640 153376805 184052166 216531960 245402888 294122579 306753610 368104332 433063920 460130415 490805776 588245158 613507220 736208664 882367737 920260830 1176490316 1227014440 1470612895 1472417328 1764735474 1840521660 2352980632 2454028880 2941225790 3529470948 3681043320 4411838685 4705961264 5000083843 5882451580 7058941896 7362086640 8823677370 10000167686 11764903160 14117883792 15000251529 17647354740 20000335372 23529806320 25000419215 30000503058 35294709480 40000670744 50000838430 60001006116 70589418960 75001257645 80001341488 100001676860 120002012232 150002515290 200003353720 240004024464 300005030580 400006707440 600010061160 1200020122320