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1000223321120 = 25515761396637
BaseRepresentation
bin11101000111000011111…
…01001010110000100000
310112121202021122022110122
432203201331022300200
5112341424132233440
62043255105015412
7132156315644012
oct16434175126040
93477667568418
101000223321120
11356212a97401
12141a24924568
1373422629b0a
14365a7d7a1b2
151b04117a7b5
hexe8e1f4ac20

1000223321120 has 48 divisors (see below), whose sum is σ = 2363183482968. Its totient is φ = 400062935040.

The previous prime is 1000223321093. The next prime is 1000223321143. The reversal of 1000223321120 is 211233220001.

It can be written as a sum of positive squares in 4 ways, for example, as 987662291344 + 12561029776 = 993812^2 + 112076^2 .

It is a super-2 number, since 2×10002233211202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2323442 + ... + 2720078.

Almost surely, 21000223321120 is an apocalyptic number.

1000223321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000223321120 is an abundant number, since it is smaller than the sum of its proper divisors (1362960161848).

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

1000223321120 is a wasteful number, since it uses less digits than its factorization.

1000223321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412413 (or 412405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1000223321120 its reverse (211233220001), we get a palindrome (1211456541121).

The spelling of 1000223321120 in words is "one trillion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 15761 31522 63044 78805 126088 157610 252176 315220 396637 504352 630440 793274 1260880 1586548 1983185 2521760 3173096 3966370 6346192 7932740 12692384 15865480 31730960 63461920 6251395757 12502791514 25005583028 31256978785 50011166056 62513957570 100022332112 125027915140 200044664224 250055830280 500111660560 1000223321120