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1321123140432 = 243215217602909
BaseRepresentation
bin10011001110011001000…
…100110101001101010000
311200022001100021011111200
4103032121010311031100
5133121130010443212
62450525433511200
7164306443260234
oct23163104651520
94608040234450
101321123140432
1146a315631247
12194061572500
13977733956c4
1447d2aab45c4
15245735986dc
hex13399135350

1321123140432 has 60 divisors (see below), whose sum is σ = 3697559005140. Its totient is φ = 440344710144.

The previous prime is 1321123140413. The next prime is 1321123140457. The reversal of 1321123140432 is 2340413211231.

1321123140432 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 231 + 404 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 946020788496 + 375102351936 = 972636^2 + 612456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1321123140396 and 1321123140405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1889794 + ... + 2492702.

It is an arithmetic number, because the mean of its divisors is an integer number (61625983419).

Almost surely, 21321123140432 is an apocalyptic number.

1321123140432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1321123140432 is an abundant number, since it is smaller than the sum of its proper divisors (2376435864708).

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

1321123140432 is a wasteful number, since it uses less digits than its factorization.

1321123140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618140 (or 618131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1321123140432 its reverse (2340413211231), we get a palindrome (3661536351663).

The spelling of 1321123140432 in words is "one trillion, three hundred twenty-one billion, one hundred twenty-three million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15217 30434 45651 60868 91302 121736 136953 182604 243472 273906 365208 547812 602909 730416 1095624 1205818 1808727 2191248 2411636 3617454 4823272 5426181 7234908 9646544 10852362 14469816 21704724 28939632 43409448 86818896 9174466253 18348932506 27523398759 36697865012 55046797518 73395730024 82570196277 110093595036 146791460048 165140392554 220187190072 330280785108 440374380144 660561570216 1321123140432