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121111111111032 = 23337257311672923
BaseRepresentation
bin11011100010011001100000…
…110000011001000101111000
3120212211002221120100201121000
4123202121200300121011320
5111333241023421023112
61105325402032045000
734336663143614340
oct3342314060310570
9525732846321530
10121111111111032
1135653a2a953399
121170018a093760
135276962163553
1421c9b4808bd20
15e005a07e27dc
hex6e2660c19178

121111111111032 has 128 divisors (see below), whose sum is σ = 385975749081600. Its totient is φ = 34468531789824.

The previous prime is 121111111111031. The next prime is 121111111111033. The reversal of 121111111111032 is 230111111111121.

It is a happy number.

121111111111032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121111111111031) and next prime (121111111111033).

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

It is a junction number, because it is equal to n+sod(n) for n = 121111111110996 and 121111111111014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111111111031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155447878 + ... + 156225045.

It is an arithmetic number, because the mean of its divisors is an integer number (3015435539700).

Almost surely, 2121111111111032 is an apocalyptic number.

121111111111032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121111111111032 is an abundant number, since it is smaller than the sum of its proper divisors (264864637970568).

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

121111111111032 is a wasteful number, since it uses less digits than its factorization.

121111111111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311673202 (or 311673192 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 18.

Adding to 121111111111032 its reverse (230111111111121), we get a palindrome (351222222222153).

The spelling of 121111111111032 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 257 378 504 514 756 771 1028 1512 1542 1799 2056 2313 3084 3598 4626 5397 6168 6939 7196 9252 10794 13878 14392 16191 18504 21588 27756 32382 43176 48573 55512 64764 97146 129528 194292 388584 311672923 623345846 935018769 1246691692 1870037538 2181710461 2493383384 2805056307 3740075076 4363420922 5610112614 6545131383 7480150152 8415168921 8726841844 11220225228 13090262766 16830337842 17453683688 19635394149 22440450456 26180525532 33660675684 39270788298 52361051064 58906182447 67321351368 78541576596 80099941211 117812364894 157083153192 160199882422 235624729788 240299823633 320399764844 471249459576 480599647266 560699588477 640799529688 720899470899 961199294532 1121399176954 1441798941798 1682098765431 1922398589064 2162698412697 2242798353908 2883597883596 3364197530862 4325396825394 4485596707816 5046296296293 5767195767192 6728395061724 8650793650788 10092592592586 13456790123448 15138888888879 17301587301576 20185185185172 30277777777758 40370370370344 60555555555516 121111111111032