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11121222202112 = 281110155770201
BaseRepresentation
bin1010000111010101110001…
…1111111011001100000000
31110101011211002121120220202
42201311130133323030000
52424202230340431422
635353004032024332
72225324152664231
oct241653437731400
943334732546822
1011121222202112
1135a8536004620
1212b744a9920a8
1362895a8a7429
142a63acd4b088
1514444dad3b92
hexa1d5c7fb300

11121222202112 has 144 divisors (see below), whose sum is σ = 24501123640224. Its totient is φ = 4995993600000.

The previous prime is 11121222202067. The next prime is 11121222202157. The reversal of 11121222202112 is 21120222212111.

11121222202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11121222202067) and next prime (11121222202157).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158384612 + ... + 158454812.

It is an arithmetic number, because the mean of its divisors is an integer number (170146691946).

Almost surely, 211121222202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121222202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250561820112).

11121222202112 is an abundant number, since it is smaller than the sum of its proper divisors (13379901438112).

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

11121222202112 is a wasteful number, since it uses less digits than its factorization.

11121222202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70886 (or 70872 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11121222202112 its reverse (21120222212111), we get a palindrome (32241444414223).

Subtracting 11121222202112 from its reverse (21120222212111), we obtain a palindrome (9999000009999).

The spelling of 11121222202112 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 557 704 808 1111 1114 1408 1616 2222 2228 2816 3232 4444 4456 6127 6464 8888 8912 12254 12928 17776 17824 24508 25856 35552 35648 49016 56257 70201 71104 71296 98032 112514 140402 142208 142592 196064 225028 280804 284416 392128 450056 561608 618827 772211 784256 900112 1123216 1237654 1544422 1568512 1800224 2246432 2475308 3088844 3600448 4492864 4950616 6177688 7090301 7200896 8985728 9901232 12355376 14180602 14401792 17971456 19802464 24710752 28361204 39101957 39604928 49421504 56722408 77993311 78203914 79209856 98843008 113444816 155986622 156407828 158419712 197686016 226889632 311973244 312815656 430121527 453779264 623946488 625631312 860243054 907558528 1247892976 1251262624 1720486108 1815117056 2495785952 2502525248 3440972216 3949297657 4991571904 5005050496 6881944432 7898595314 9983143808 10010100992 13763888864 15797190628 19966287616 27527777728 31594381256 43442274227 55055555456 63188762512 86884548454 110111110912 126377525024 173769096908 252755050048 347538193816 505510100096 695076387632 1011020200192 1390152775264 2780305550528 5560611101056 11121222202112