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11122330221312 = 283117114878317
BaseRepresentation
bin1010000111011001111010…
…0010101011101100000000
31110101021200022112210111220
42201312132202223230000
52424212013014040222
635353310012435040
72225363466000012
oct241663642535400
943337608483456
1011122330221312
1135a8a544a6872
1212b76b9a78a80
13628aa63051ab
142a64761761b2
151444b6000b5c
hexa1d9e8abb00

11122330221312 has 144 divisors (see below), whose sum is σ = 29650385920512. Its totient is φ = 3701341163520.

The previous prime is 11122330221293. The next prime is 11122330221313. The reversal of 11122330221312 is 21312203322111.

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

It is not an unprimeable number, because it can be changed into a prime (11122330221313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1337296578 + ... + 1337304894.

Almost surely, 211122330221312 is an apocalyptic number.

11122330221312 is a gapful number since it is divisible by the number (12) 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 11122330221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825192960256).

11122330221312 is an abundant number, since it is smaller than the sum of its proper divisors (18528055699200).

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

11122330221312 is a wasteful number, since it uses less digits than its factorization.

11122330221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11122330221312 its reverse (21312203322111), we get a palindrome (32434533543423).

The spelling of 11122330221312 in words is "eleven trillion, one hundred twenty-two billion, three hundred thirty million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1171 1487 2342 2974 3513 4461 4684 5948 7026 8317 8922 9368 11896 14052 16634 17844 18736 23792 24951 28104 33268 35688 37472 47584 49902 56208 66536 71376 74944 95168 99804 112416 133072 142752 149888 190336 199608 224832 266144 285504 299776 380672 399216 449664 532288 571008 798432 899328 1064576 1142016 1596864 1741277 2129152 3193728 3482554 5223831 6387456 6965108 9739207 10447662 12367379 13930216 19478414 20895324 24734758 27860432 29217621 37102137 38956828 41790648 49469516 55720864 58435242 74204274 77913656 83581296 98939032 111441728 116870484 148408548 155827312 167162592 197878064 222883456 233740968 296817096 311654624 334325184 395756128 445766912 467481936 593634192 623309248 668650368 791512256 934963872 1187268384 1246618496 1337300736 1583024512 1869927744 2374536768 2493236992 3166049024 3739855488 4749073536 7479710976 9498147072 14482200809 28964401618 43446602427 57928803236 86893204854 115857606472 173786409708 231715212944 347572819416 463430425888 695145638832 926860851776 1390291277664 1853721703552 2780582555328 3707443407104 5561165110656 11122330221312