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12210303031120 = 245893121549481
BaseRepresentation
bin1011000110101110111011…
…0001100101011101010000
31121020021221000022222222001
42301223232301211131100
53100023200033443440
641545200305523344
72400110456204065
oct261535661453520
947207830288861
1012210303031120
1139883a6814857
121452531943554
136a757141887c
14302da6184c6c
15162940b5eb9a
hexb1aeec65750

12210303031120 has 80 divisors (see below), whose sum is σ = 28717182138960. Its totient is φ = 4827687321600.

The previous prime is 12210303031099. The next prime is 12210303031123. The reversal of 12210303031120 is 2113030301221.

It can be written as a sum of positive squares in 8 ways, for example, as 754271406144 + 11456031624976 = 868488^2 + 3384676^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122103030311202 (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 (12210303031123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21946780 + ... + 22496260.

It is an arithmetic number, because the mean of its divisors is an integer number (358964776737).

Almost surely, 212210303031120 is an apocalyptic number.

12210303031120 is a gapful number since it is divisible by the number (10) 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 12210303031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358591069480).

12210303031120 is an abundant number, since it is smaller than the sum of its proper divisors (16506879107840).

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

12210303031120 is a wasteful number, since it uses less digits than its factorization.

12210303031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552704 (or 552698 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12210303031120 its reverse (2113030301221), we get a palindrome (14323333332341).

The spelling of 12210303031120 in words is "twelve trillion, two hundred ten billion, three hundred three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3121 3560 6242 7120 12484 15605 24968 31210 49936 62420 124840 249680 277769 549481 555538 1098962 1111076 1388845 2197924 2222152 2747405 2777690 4395848 4444304 5494810 5555380 8791696 10989620 11110760 21979240 22221520 43958480 48903809 97807618 195615236 244519045 391230472 489038090 782460944 978076180 1714930201 1956152360 3429860402 3912304720 6859720804 8574651005 13719441608 17149302010 27438883216 34298604020 68597208040 137194416080 152628787889 305257575778 610515151556 763143939445 1221030303112 1526287878890 2442060606224 3052575757780 6105151515560 12210303031120