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1211221323132 = 2233767283143873
BaseRepresentation
bin10001101000000010011…
…010101010110101111100
311021210101002121101110220
4101220002122222311330
5124321040124320012
62324232152301340
7153336123242562
oct21500232526574
94253332541426
101211221323132
11427748951267
121768ab6a1850
138a2aa324092
14428a296ba32
152178ede708c
hex11a026aad7c

1211221323132 has 96 divisors (see below), whose sum is σ = 2956318348032. Its totient is φ = 385595375616.

The previous prime is 1211221323127. The next prime is 1211221323133. The reversal of 1211221323132 is 2313231221121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211221323133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8346748 + ... + 8490620.

It is an arithmetic number, because the mean of its divisors is an integer number (30794982792).

Almost surely, 21211221323132 is an apocalyptic number.

1211221323132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1211221323132 is an abundant number, since it is smaller than the sum of its proper divisors (1745097024900).

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

1211221323132 is a wasteful number, since it uses less digits than its factorization.

1211221323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144267 (or 144265 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 1211221323132 its reverse (2313231221121), we get a palindrome (3524452544253).

The spelling of 1211221323132 in words is "one trillion, two hundred eleven billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 67 74 111 134 148 201 222 268 283 402 444 566 804 849 1132 1698 2479 3396 4958 7437 9916 10471 14874 18961 20942 29748 31413 37922 41884 56883 62826 75844 113766 125652 143873 227532 287746 431619 575492 701557 863238 1403114 1726476 2104671 2806228 4209342 5323301 8418684 9639491 10646602 15969903 19278982 21293204 28918473 31939806 38557964 40716059 57836946 63879612 81432118 115673892 122148177 162864236 244296354 356661167 488592708 713322334 1069983501 1426644668 1506494183 2139967002 2727975953 3012988366 4279934004 4519482549 5455951906 6025976732 8183927859 9038965098 10911903812 16367855718 18077930196 32735711436 100935110261 201870220522 302805330783 403740441044 605610661566 1211221323132