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1121302230012 = 2232372591324901
BaseRepresentation
bin10000010100010010110…
…100100011001111111100
310222012021110222011201200
4100110102310203033330
5121332411332330022
62215041422135500
7144003625460256
oct20242264431774
93865243864650
101121302230012
113a25a5970768
12161395a21590
138197a1bbbc3
143c3b26d0cd6
151e27abecbac
hex10512d233fc

1121302230012 has 72 divisors (see below), whose sum is σ = 2912140812672. Its totient is φ = 363524112000.

The previous prime is 1121302230011. The next prime is 1121302230043. The reversal of 1121302230012 is 2100322031211.

1121302230012 is a `hidden beast` number, since 1 + 121 + 302 + 230 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121302230011) 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 23 ways as a sum of consecutive naturals, for example, 3288762 + ... + 3613662.

It is an arithmetic number, because the mean of its divisors is an integer number (40446400176).

Almost surely, 21121302230012 is an apocalyptic number.

1121302230012 is a gapful number since it is divisible by the number (12) 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 1121302230012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456070406336).

1121302230012 is an abundant number, since it is smaller than the sum of its proper divisors (1790838582660).

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

1121302230012 is a wasteful number, since it uses less digits than its factorization.

1121302230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327539 (or 327534 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1121302230012 its reverse (2100322031211), we get a palindrome (3221624261223).

The spelling of 1121302230012 in words is "one trillion, one hundred twenty-one billion, three hundred two million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2591 5182 7773 10364 15546 23319 31092 46638 93276 95867 191734 287601 324901 383468 575202 649802 862803 974703 1150404 1299604 1725606 1949406 2924109 3451212 3898812 5848218 11696436 12021337 24042674 36064011 48085348 72128022 108192033 144256044 216384066 432768132 841818491 1683636982 2525455473 3367273964 5050910946 7576366419 10101821892 15152732838 30305465676 31147284167 62294568334 93441852501 124589136668 186883705002 280325557503 373767410004 560651115006 1121302230012