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12141410521000 = 235359255180669
BaseRepresentation
bin1011000010101110010001…
…1101100000111110101000
31120222201002202220212121011
42300223210131200332220
53042411102043133000
641453404220153304
72362121320423645
oct260534435407650
946881082825534
1012141410521000
113961163793282
121441105998834
136a0c12575097
142dd90c69adcc
15160c5c8b42ba
hexb0ae4760fa8

12141410521000 has 128 divisors (see below), whose sum is σ = 28904125536000. Its totient is φ = 4772318880000.

The previous prime is 12141410520983. The next prime is 12141410521021. The reversal of 12141410521000 is 12501414121.

It is a happy 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, 150468666 + ... + 150549334.

It is an arithmetic number, because the mean of its divisors is an integer number (225813480750).

Almost surely, 212141410521000 is an apocalyptic number.

12141410521000 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 12141410521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14452062768000).

12141410521000 is an abundant number, since it is smaller than the sum of its proper divisors (16762715015000).

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

12141410521000 is a wasteful number, since it uses less digits than its factorization.

12141410521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83300 (or 83286 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 12141410521000 its reverse (12501414121), we get a palindrome (12153911935121).

The spelling of 12141410521000 in words is "twelve trillion, one hundred forty-one billion, four hundred ten million, five hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2551 2950 5102 5900 7375 10204 11800 12755 14750 20408 25510 29500 51020 59000 63775 80669 102040 127550 150509 161338 255100 301018 318875 322676 403345 510200 602036 637750 645352 752545 806690 1204072 1275500 1505090 1613380 2016725 2551000 3010180 3226760 3762725 4033450 4759471 6020360 7525450 8066900 9518942 10083625 15050900 16133800 18813625 19037884 20167250 23797355 30101800 37627250 38075768 40334500 47594710 75254500 80669000 95189420 118986775 150509000 190378840 205786619 237973550 411573238 475947100 594933875 823146476 951894200 1028933095 1189867750 1646292952 2057866190 2379735500 4115732380 4759471000 5144665475 8231464760 10289330950 12141410521 20578661900 24282821042 25723327375 41157323800 48565642084 51446654750 60707052605 97131284168 102893309500 121414105210 205786619000 242828210420 303535263025 485656420840 607070526050 1214141052100 1517676315125 2428282104200 3035352630250 6070705260500 12141410521000