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12225431542324 = 227111327191112291
BaseRepresentation
bin1011000111100111010010…
…0000010001101000110100
31121021201222100021222212211
42301321310200101220310
53100300140433323244
642000141414223204
72401154406343540
oct261716440215064
947251870258784
1012225431542324
11399385a431180
121455454354b04
136a8b1277b850
143039dd49ca20
15163028dab934
hexb1e74811a34

12225431542324 has 96 divisors (see below), whose sum is σ = 28726801754112. Its totient is φ = 4396557744000.

The previous prime is 12225431542321. The next prime is 12225431542447. The reversal of 12225431542324 is 42324513452221.

It is a super-2 number, since 2×122254315423242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225431542321) 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, 108816619 + ... + 108928909.

It is an arithmetic number, because the mean of its divisors is an integer number (299237518272).

Almost surely, 212225431542324 is an apocalyptic number.

12225431542324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12225431542324 is an abundant number, since it is smaller than the sum of its proper divisors (16501370211788).

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

12225431542324 is a wasteful number, since it uses less digits than its factorization.

12225431542324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139517 (or 139515 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

Adding to 12225431542324 its reverse (42324513452221), we get a palindrome (54549944994545).

The spelling of 12225431542324 in words is "twelve trillion, two hundred twenty-five billion, four hundred thirty-one million, five hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 27191 54382 108764 112291 190337 224582 299101 353483 380674 449164 598202 706966 761348 786037 1196404 1235201 1413932 1459783 1572074 2093707 2470402 2474381 2919566 3144148 3888313 4187414 4940804 4948762 5839132 7776626 8374828 8646407 9897524 10218481 15553252 16057613 17292814 20436962 27218191 32115226 34585628 40873924 54436382 64230452 108872764 112403291 224806582 449613164 3053304581 6106609162 12213218324 21373132067 33586350391 39692959553 42746264134 67172700782 79385919106 85492528268 134345401564 158771838212 235104452737 277850716871 436622555083 470208905474 555701433742 873245110166 940417810948 1111402867484 1746490220332 3056357885581 6112715771162 12225431542324