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121123002311300 = 2252111716979381481
BaseRepresentation
bin11011100010100100100101…
…100001101110001010000100
3120212212020122021202021202202
4123202210211201232022010
5111333434402042430200
61105335050013454032
734340563624265603
oct3342444541561204
9525766567667682
10121123002311300
1135658a82153130
12117025484a1318
135277b088c3122
1421ca555467a3a
15e00a497211d5
hex6e292586e284

121123002311300 has 144 divisors (see below), whose sum is σ = 303616396681920. Its totient is φ = 41451311616000.

The previous prime is 121123002311281. The next prime is 121123002311321. The reversal of 121123002311300 is 3113200321121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317316560 + ... + 317698040.

It is an arithmetic number, because the mean of its divisors is an integer number (2108447199180).

Almost surely, 2121123002311300 is an apocalyptic number.

121123002311300 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 121123002311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151808198340960).

121123002311300 is an abundant number, since it is smaller than the sum of its proper divisors (182493394370620).

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

121123002311300 is a wasteful number, since it uses less digits than its factorization.

121123002311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398502 (or 398495 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121123002311300 its reverse (3113200321121), we get a palindrome (124236202632421).

The spelling of 121123002311300 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 16979 18700 33958 67916 84895 169790 186769 288643 339580 373538 381481 424475 577286 747076 762962 848950 933845 1154572 1443215 1525924 1697900 1867690 1907405 2886430 3175073 3735380 3814810 4196291 4669225 5772860 6350146 6485177 7216075 7629620 8392582 9338450 9537025 12700292 12970354 14432150 15875365 16785164 18676900 19074050 20981455 25940708 28864300 31750730 32425885 38148100 41962910 63501460 64851770 71336947 79376825 83925820 104907275 129703540 142673894 158753650 162129425 209814550 285347788 317507300 324258850 356684735 419629100 648517700 713369470 1426738940 1783423675 3566847350 6477165899 7133694700 12954331798 25908663596 32385829495 64771658990 71248824889 110111820283 129543317980 142497649778 161929147475 220223640566 284995299556 323858294950 356244124445 440447281132 550559101415 647716589900 712488248890 1101118202830 1211230023113 1424976497780 1781220622225 2202236405660 2422460046226 2752795507075 3562441244450 4844920092452 5505591014150 6056150115565 7124882488900 11011182028300 12112300231130 24224600462260 30280750577825 60561501155650 121123002311300