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12121222333040 = 245198989600993
BaseRepresentation
bin1011000001100011000100…
…1001101100001001110000
31120220202222211021122222222
42300120301021230021300
53042043230404124130
641440225045220212
72360505121600052
oct260306111541160
946822884248888
1012121222333040
113953644009917
121439210a01668
1369c045bba732
142dc9553c98d2
1516047a373ce5
hexb063126c270

12121222333040 has 80 divisors (see below), whose sum is σ = 29998412791200. Its totient is φ = 4541695082496.

The previous prime is 12121222333037. The next prime is 12121222333043. The reversal of 12121222333040 is 4033322212121.

It is an interprime number because it is at equal distance from previous prime (12121222333037) and next prime (12121222333043).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121222333043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44665217 + ... + 44935776.

It is an arithmetic number, because the mean of its divisors is an integer number (374980159890).

Almost surely, 212121222333040 is an apocalyptic number.

12121222333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121222333040 is an abundant number, since it is smaller than the sum of its proper divisors (17877190458160).

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

12121222333040 is a wasteful number, since it uses less digits than its factorization.

12121222333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89601114 (or 89601108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12121222333040 its reverse (4033322212121), we get a palindrome (16154544545161).

The spelling of 12121222333040 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty-two million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 89 95 152 178 190 304 356 380 445 712 760 890 1424 1520 1691 1780 3382 3560 6764 7120 8455 13528 16910 27056 33820 67640 135280 89600993 179201986 358403972 448004965 716807944 896009930 1433615888 1702418867 1792019860 3404837734 3584039720 6809675468 7168079440 7974488377 8512094335 13619350936 15948976754 17024188670 27238701872 31897953508 34048377340 39872441885 63795907016 68096754680 79744883770 127591814032 136193509360 151515279163 159489767540 303030558326 318979535080 606061116652 637959070160 757576395815 1212122233304 1515152791630 2424244466608 3030305583260 6060611166520 12121222333040