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1322132130012 = 2231730721110879
BaseRepresentation
bin10011001111010101001…
…101110100100011011100
311200101122122212011000010
4103033111031310203130
5133130211311130022
62451213520003220
7164343444451641
oct23172515644334
94611578764003
101322132130012
1146a793135031
121942a3460510
13978a442c565
1447dc4ac1dc8
15245d1e5350c
hex133d53748dc

1322132130012 has 48 divisors (see below), whose sum is σ = 3277084124160. Its totient is φ = 413435434752.

The previous prime is 1322132129977. The next prime is 1322132130017. The reversal of 1322132130012 is 2100312312231.

It is a super-3 number, since 3×13221321300123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322132130017) 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, 10492812 + ... + 10618067.

It is an arithmetic number, because the mean of its divisors is an integer number (68272585920).

Almost surely, 21322132130012 is an apocalyptic number.

1322132130012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322132130012 is an abundant number, since it is smaller than the sum of its proper divisors (1954951994148).

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

1322132130012 is a wasteful number, since it uses less digits than its factorization.

1322132130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21111210 (or 21111208 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1322132130012 its reverse (2100312312231), we get a palindrome (3422444442243).

The spelling of 1322132130012 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 307 614 921 1228 1842 3684 5219 10438 15657 20876 31314 62628 21110879 42221758 63332637 84443516 126665274 253330548 358884943 717769886 1076654829 1435539772 2153309658 4306619316 6481039853 12962079706 19443119559 25924159412 38886239118 77772478236 110177677501 220355355002 330533032503 440710710004 661066065006 1322132130012