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121113022013200 = 2452726179235817
BaseRepresentation
bin11011100010011011010010…
…101001111001111100010000
3120212211021212202001121120101
4123202123102221321330100
5111333303432113410300
61105330315413222144
734340061406201600
oct3342332251717420
9525737782047511
10121113022013200
1135654820575488
1211700622031954
135276ba80134a9
1421c9c89b92c00
15e00663455b6a
hex6e26d2a79f10

121113022013200 has 90 divisors (see below), whose sum is σ = 338480000402586. Its totient is φ = 41524464683520.

The previous prime is 121113022013143. The next prime is 121113022013219. The reversal of 121113022013200 is 2310220311121.

It can be written as a sum of positive squares in 3 ways, for example, as 33375854969856 + 87737167043344 = 5777184^2 + 9366812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3089598309 + ... + 3089637508.

Almost surely, 2121113022013200 is an apocalyptic number.

121113022013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121113022013200 is an abundant number, since it is smaller than the sum of its proper divisors (217366978389386).

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

121113022013200 is a wasteful number, since it uses less digits than its factorization.

121113022013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179235849 (or 6179235831 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 121113022013200 its reverse (2310220311121), we get a palindrome (123423242324321).

The spelling of 121113022013200 in words is "one hundred twenty-one trillion, one hundred thirteen billion, twenty-two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 6179235817 12358471634 24716943268 30896179085 43254650719 49433886536 61792358170 86509301438 98867773072 123584716340 154480895425 173018602876 216273253595 247169432680 302782555033 308961790850 346037205752 432546507190 494338865360 605565110066 617923581700 692074411504 865093014380 1081366267975 1211130220132 1235847163400 1513912775165 1730186028760 2162732535950 2422260440264 2471694326800 3027825550330 3460372057520 4325465071900 4844520880528 6055651100660 7569563875825 8650930143800 12111302201320 15139127751650 17301860287600 24222604402640 30278255503300 60556511006600 121113022013200