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20022012111200 = 25521116371389877
BaseRepresentation
bin1001000110101101111001…
…11010110110100101100000
32121220002022110010121120112
410203112330322312211200
510111020040100024300
6110325552502030452
74134354060622121
oct443267472664540
977802273117515
1020022012111200
11641a318955a80
1222b4497418428
13b230b57b64c8
144d30db872048
1524ac425a7e35
hex1235bceb6960

20022012111200 has 144 divisors (see below), whose sum is σ = 53354870163504. Its totient is φ = 7276278835200.

The previous prime is 20022012111193. The next prime is 20022012111229. The reversal of 20022012111200 is 211121022002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13710662 + ... + 15100538.

It is an arithmetic number, because the mean of its divisors is an integer number (370519931691).

Almost surely, 220022012111200 is an apocalyptic number.

20022012111200 is a gapful number since it is divisible by the number (20) 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 20022012111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26677435081752).

20022012111200 is an abundant number, since it is smaller than the sum of its proper divisors (33332858052304).

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

20022012111200 is a wasteful number, since it uses less digits than its factorization.

20022012111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391545 (or 1391532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20022012111200 its reverse (211121022002), we get a palindrome (20233133133202).

The spelling of 20022012111200 in words is "twenty trillion, twenty-two billion, twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1637 1760 2200 3274 4400 6548 8185 8800 13096 16370 18007 26192 32740 36014 40925 52384 65480 72028 81850 90035 130960 144056 163700 180070 261920 288112 327400 360140 450175 576224 654800 720280 900350 1309600 1389877 1440560 1800700 2779754 2881120 3601400 5559508 6949385 7202800 11119016 13898770 14405600 15288647 22238032 27797540 30577294 34746925 44476064 55595080 61154588 69493850 76443235 111190160 122309176 138987700 152886470 222380320 244618352 277975400 305772940 382216175 489236704 555950800 611545880 764432350 1111901600 1223091760 1528864700 2275228649 2446183520 3057729400 4550457298 6115458800 9100914596 11376143245 12230917600 18201829192 22752286490 25027515139 36403658384 45504572980 50055030278 56880716225 72807316768 91009145960 100110060556 113761432450 125137575695 182018291920 200220121112 227522864900 250275151390 364036583840 400440242224 455045729800 500550302780 625687878475 800880484448 910091459600 1001100605560 1251375756950 1820182919200 2002201211120 2502751513900 4004402422240 5005503027800 10011006055600 20022012111200