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12130011111232 = 267235831079539
BaseRepresentation
bin1011000010000011110100…
…0000001101111101000000
31120221121200022220212011101
42300200331000031331000
53042214230321024412
641444241123224144
72361235661145100
oct260407500157500
946847608825141
1012130011111232
113957344052a73
12143aa64218054
1369cb169849c1
142dd14a73b200
151607e1c2b457
hexb083d00df40

12130011111232 has 84 divisors (see below), whose sum is σ = 28008207575040. Its totient is φ = 5197120475904.

The previous prime is 12130011111173. The next prime is 12130011111287. The reversal of 12130011111232 is 23211111003121.

It is a super-2 number, since 2×121300111112322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10696519 + ... + 11776057.

It is an arithmetic number, because the mean of its divisors is an integer number (333431042560).

Almost surely, 212130011111232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130011111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004103787520).

12130011111232 is an abundant number, since it is smaller than the sum of its proper divisors (15878196463808).

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

12130011111232 is a wasteful number, since it uses less digits than its factorization.

12130011111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083148 (or 1083131 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 12130011111232 its reverse (23211111003121), we get a palindrome (35341122114353).

The spelling of 12130011111232 in words is "twelve trillion, one hundred thirty billion, eleven million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3583 7166 14332 25081 28664 50162 57328 100324 114656 175567 200648 229312 351134 401296 702268 802592 1079539 1404536 1605184 2159078 2809072 4318156 5618144 7556773 8636312 11236288 15113546 17272624 30227092 34545248 52897411 60454184 69090496 105794822 120908368 211589644 241816736 423179288 483633472 846358576 1692717152 3385434304 3867988237 7735976474 15471952948 27075917659 30943905896 54151835318 61887811792 108303670636 123775623584 189531423613 216607341272 247551247168 379062847226 433214682544 758125694452 866429365088 1516251388904 1732858730176 3032502777808 6065005555616 12130011111232