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1332011021120 = 265132341136777
BaseRepresentation
bin10011011000100010000…
…010110011001101000000
311201100011010201210221222
4103120202002303031000
5133310424310133440
62455530054534212
7165143321603513
oct23304202631500
94640133653858
101332011021120
114739a255014a
1219619b967368
13987b9cc5160
1448680b1ad7a
15249ae38c2b5
hex136220b3340

1332011021120 has 112 divisors (see below), whose sum is σ = 3417323922768. Its totient is φ = 491605770240.

The previous prime is 1332011021087. The next prime is 1332011021171. The reversal of 1332011021120 is 211201102331.

It can be written as a sum of positive squares in 8 ways, for example, as 390195118336 + 941815902784 = 624656^2 + 970472^2 .

It is a congruent number.

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, 9670172 + ... + 9806948.

It is an arithmetic number, because the mean of its divisors is an integer number (30511820739).

Almost surely, 21332011021120 is an apocalyptic number.

1332011021120 is a gapful number since it is divisible by the number (10) 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 1332011021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708661961384).

1332011021120 is an abundant number, since it is smaller than the sum of its proper divisors (2085312901648).

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

1332011021120 is a wasteful number, since it uses less digits than its factorization.

1332011021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139148 (or 139138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1332011021120 its reverse (211201102331), we get a palindrome (1543212123451).

The spelling of 1332011021120 in words is "one trillion, three hundred thirty-two billion, eleven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 2341 4160 4682 9364 11705 18728 23410 30433 37456 46820 60866 74912 93640 121732 136777 149824 152165 187280 243464 273554 304330 374560 486928 547108 608660 683885 749120 973856 1094216 1217320 1367770 1778101 1947712 2188432 2434640 2735540 3556202 4376864 4869280 5471080 7112404 8753728 8890505 9738560 10942160 14224808 17781010 21884320 28449616 35562020 43768640 56899232 71124040 113798464 142248080 284496160 320194957 568992320 640389914 1280779828 1600974785 2561559656 3201949570 4162534441 5123119312 6403899140 8325068882 10246238624 12807798280 16650137764 20492477248 20812672205 25615596560 33300275528 41625344410 51231193120 66600551056 83250688820 102462386240 133201102112 166501377640 266402204224 333002755280 666005510560 1332011021120