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12330323302000 = 245311909161651
BaseRepresentation
bin1011001101101110000010…
…0010100101011001110000
31121122202201102122110212211
42303123200202211121300
53104010000231131000
642120250004501504
72411556622524214
oct263334042453160
947582642573784
1012330323302000
113a24296064770
1214718483aa894
136b598a87c732
14308b10086944
15165b177bb7ba
hexb36e08a5670

12330323302000 has 160 divisors (see below), whose sum is σ = 32529256351488. Its totient is φ = 4483188000000.

The previous prime is 12330323301991. The next prime is 12330323302009. The reversal of 12330323302000 is 20332303321.

It is an interprime number because it is at equal distance from previous prime (12330323301991) and next prime (12330323302009).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330323302009) 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, 199971175 + ... + 200032825.

Almost surely, 212330323302000 is an apocalyptic number.

12330323302000 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 12330323302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16264628175744).

12330323302000 is an abundant number, since it is smaller than the sum of its proper divisors (20198933049488).

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

12330323302000 is a wasteful number, since it uses less digits than its factorization.

12330323302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70776 (or 70760 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 12330323302000 its reverse (20332303321), we get a palindrome (12350655605321).

The spelling of 12330323302000 in words is "twelve trillion, three hundred thirty billion, three hundred twenty-three million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 9091 11000 18182 22000 36364 45455 61651 72728 90910 100001 123302 145456 181820 200002 227275 246604 308255 363640 400004 454550 493208 500005 616510 678161 727280 800008 909100 986416 1000010 1136375 1233020 1356322 1541275 1600016 1818200 2000020 2272750 2466040 2500025 2712644 3082550 3390805 3636400 4000040 4545500 4932080 5000050 5425288 6165100 6781610 7706375 8000080 9091000 10000100 10850576 12330200 12500125 13563220 15412750 16954025 18182000 20000200 24660400 25000250 27126440 30825500 33908050 40000400 50000500 54252880 61651000 67816100 84770125 100001000 123302000 135632200 169540250 200002000 271264400 339080500 560469241 678161000 1120938482 1356322000 2241876964 2802346205 4483753928 5604692410 6165161651 8967507856 11209384820 12330323302 14011731025 22418769640 24660646604 28023462050 30825808255 44837539280 49321293208 56046924100 61651616510 70058655125 98642586416 112093848200 123303233020 140117310250 154129041275 224187696400 246606466040 280234620500 308258082550 493212932080 560469241000 616516165100 770645206375 1120938482000 1233032330200 1541290412750 2466064660400 3082580825500 6165161651000 12330323302000