Search a number
-
+
12212001202000 = 245323268798801
BaseRepresentation
bin1011000110110101001111…
…1111100101111101010000
31121020110022100202000110211
42301231103333211331100
53100040134301431000
641550041011333504
72400200526340435
oct261552377457520
947213270660424
1012212001202000
113989098348766
1214529265b1294
136a77821a4702
143030c7911b8c
151629deca17ba
hexb1b53fe5f50

12212001202000 has 160 divisors (see below), whose sum is σ = 30824251121664. Its totient is φ = 4670631680000.

The previous prime is 12212001201947. The next prime is 12212001202003. The reversal of 12212001202000 is 20210021221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212001202003) 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, 123552600 + ... + 123651400.

Almost surely, 212212001202000 is an apocalyptic number.

12212001202000 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 12212001202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15412125560832).

12212001202000 is an abundant number, since it is smaller than the sum of its proper divisors (18612249919664).

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

12212001202000 is a wasteful number, since it uses less digits than its factorization.

12212001202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101534 (or 101518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12212001202000 its reverse (20210021221), we get a palindrome (12232211223221).

The spelling of 12212001202000 in words is "twelve trillion, two hundred twelve billion, one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2687 2875 4600 5374 5750 9200 10748 11500 13435 21496 23000 26870 42992 46000 53740 61801 67175 98801 107480 123602 134350 197602 214960 247204 268700 309005 335875 395204 494005 494408 537400 618010 671750 790408 988010 988816 1074800 1236020 1343500 1545025 1580816 1976020 2272423 2470025 2472040 2687000 3090050 3952040 4544846 4940050 4944080 5374000 6180100 7725125 7904080 9089692 9880100 11362115 12350125 12360200 15450250 18179384 19760200 22724230 24700250 24720400 30900500 36358768 39520400 45448460 49400500 56810575 61801000 90896920 98801000 113621150 123602000 181793840 197602000 227242300 265478287 284052875 454484600 530956574 568105750 908969200 1061913148 1136211500 1327391435 2123826296 2272423000 2654782870 4247652592 4544846000 5309565740 6106000601 6636957175 10619131480 12212001202 13273914350 21238262960 24424002404 26547828700 30530003005 33184785875 48848004808 53095657400 61060006010 66369571750 97696009616 106191314800 122120012020 132739143500 152650015025 244240024040 265478287000 305300030050 488480048080 530956574000 610600060100 763250075125 1221200120200 1526500150250 2442400240400 3053000300500 6106000601000 12212001202000