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12212010002000 = 245367443205721
BaseRepresentation
bin1011000110110101010010…
…0001001010011001010000
31121020110022222022002210202
42301231110201022121100
53100040144030031000
641550041524114332
72400200664211424
oct261552441123120
947213288262722
1012212010002000
1139890a2309296
1214529295359a8
136a7783c66003
143030c8b62b84
151629e093ddd5
hexb1b5484a650

12212010002000 has 160 divisors (see below), whose sum is σ = 30037163105664. Its totient is φ = 4801011072000.

The previous prime is 12212010001999. The next prime is 12212010002029. The reversal of 12212010002000 is 20001021221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59259140 + ... + 59464860.

Almost surely, 212212010002000 is an apocalyptic number.

12212010002000 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 12212010002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15018581552832).

12212010002000 is an abundant number, since it is smaller than the sum of its proper divisors (17825153103664).

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

12212010002000 is a wasteful number, since it uses less digits than its factorization.

12212010002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206254 (or 206238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12212010002000 its reverse (20001021221), we get a palindrome (12232011023221).

The spelling of 12212010002000 in words is "twelve trillion, two hundred twelve billion, ten million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 443 500 536 670 886 1000 1072 1340 1675 1772 2000 2215 2680 3350 3544 4430 5360 6700 7088 8375 8860 11075 13400 16750 17720 22150 26800 29681 33500 35440 44300 55375 59362 67000 88600 110750 118724 134000 148405 177200 205721 221500 237448 296810 411442 443000 474896 593620 742025 822884 886000 1028605 1187240 1484050 1645768 2057210 2374480 2968100 3291536 3710125 4114420 5143025 5936200 7420250 8228840 10286050 11872400 13783307 14840500 16457680 20572100 25715125 27566614 29681000 41144200 51430250 55133228 59362000 68916535 82288400 91134403 102860500 110266456 137833070 182268806 205721000 220532912 275666140 344582675 364537612 411442000 455672015 551332280 689165350 729075224 911344030 1102664560 1378330700 1458150448 1722913375 1822688060 2278360075 2756661400 3445826750 3645376120 4556720150 5513322800 6106005001 6891653500 7290752240 9113440300 11391800375 12212010002 13783307000 18226880600 22783600750 24424020004 27566614000 30530025005 36453761200 45567201500 48848040008 61060050010 91134403000 97696080016 122120100020 152650125025 182268806000 244240200040 305300250050 488480400080 610600500100 763250625125 1221201000200 1526501250250 2442402000400 3053002500500 6106005001000 12212010002000