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1221113441344 = 26174371367621
BaseRepresentation
bin10001110001010000000…
…010000110110001000000
311022201220111101001121111
4101301100002012301000
5130001320020110334
62332545522533104
7154136220664426
oct21612002066100
94281814331544
101221113441344
11430964781075
121787b0507194
138b1c586b374
144316064b116
1521b6d595064
hex11c50086c40

1221113441344 has 112 divisors (see below), whose sum is σ = 2662336169856. Its totient is φ = 553371033600.

The previous prime is 1221113441341. The next prime is 1221113441389. The reversal of 1221113441344 is 4431443111221.

It is a super-2 number, since 2×12211134413442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221113441341) 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, 3137854 + ... + 3505474.

Almost surely, 21221113441344 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 1221113441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331168084928).

1221113441344 is an abundant number, since it is smaller than the sum of its proper divisors (1441222728512).

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

1221113441344 is a wasteful number, since it uses less digits than its factorization.

1221113441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367764 (or 367754 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

Adding to 1221113441344 its reverse (4431443111221), we get a palindrome (5652556552565).

The spelling of 1221113441344 in words is "one trillion, two hundred twenty-one billion, one hundred thirteen million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 71 86 136 142 172 272 284 344 544 568 688 731 1088 1136 1207 1376 1462 2272 2414 2752 2924 3053 4544 4828 5848 6106 9656 11696 12212 19312 23392 24424 38624 46784 48848 51901 77248 97696 103802 195392 207604 367621 415208 735242 830416 1470484 1660832 2940968 3321664 5881936 6249557 11763872 12499114 15807703 23527744 24998228 26101091 31615406 49996456 52202182 63230812 99992912 104404364 126461624 199985824 208808728 252923248 268730951 399971648 417617456 443718547 505846496 537461902 835234912 887437094 1011692992 1074923804 1122346913 1670469824 1774874188 2149847608 2244693826 3549748376 4299695216 4489387652 7099496752 8599390432 8978775304 14198993504 17198780864 17957550608 19079897521 28397987008 35915101216 38159795042 71830202432 76319590084 152639180168 305278360336 610556720672 1221113441344