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12420655010300 = 22524326921614969
BaseRepresentation
bin1011010010111110100010…
…1110101101000111111100
31121222101212210200201020202
42310233220232231013330
53112000000140312200
642225545314503032
72421235260422315
oct264575056550774
947871783621222
1012420655010300
113a5962aa47149
121487258294a78
136c13553221c4
1430d23d04d60c
15168152d1c1d5
hexb4be8bad1fc

12420655010300 has 144 divisors (see below), whose sum is σ = 27700541114400. Its totient is φ = 4831471411200.

The previous prime is 12420655010293. The next prime is 12420655010501. The reversal of 12420655010300 is 301055602421.

It is a congruent number.

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, 2499626216 + ... + 2499631184.

It is an arithmetic number, because the mean of its divisors is an integer number (192364868850).

Almost surely, 212420655010300 is an apocalyptic number.

12420655010300 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 12420655010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850270557200).

12420655010300 is an abundant number, since it is smaller than the sum of its proper divisors (15279886104100).

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

12420655010300 is a wasteful number, since it uses less digits than its factorization.

12420655010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 12420655010300 in words is "twelve trillion, four hundred twenty billion, six hundred fifty-five million, ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 269 430 538 860 1075 1076 1345 2150 2161 2690 4300 4322 4969 5380 6725 8644 9938 10805 11567 13450 19876 21610 23134 24845 26900 43220 46268 49690 54025 57835 92923 99380 108050 115670 124225 185846 213667 216100 231340 248450 289175 371692 427334 464615 496900 578350 581309 854668 929230 1068335 1156700 1162618 1336661 1858460 2136670 2323075 2325236 2673322 2906545 4273340 4646150 5341675 5346644 5813090 6683305 9292300 10683350 10738009 11626180 13366610 14532725 21366700 21476018 24996287 26733220 29065450 33416525 42952036 49992574 53690045 57476423 58130900 66833050 99985148 107380090 114952846 124981435 133666100 214760180 229905692 249962870 268450225 287382115 461734387 499925740 536900450 574764230 624907175 923468774 1073800900 1149528460 1249814350 1436910575 1846937548 2308671935 2499628700 2873821150 2888524421 4617343870 5747642300 5777048842 9234687740 11543359675 11554097684 14442622105 23086719350 28885244210 46173438700 57770488420 72213110525 124206550103 144426221050 248413100206 288852442100 496826200412 621032750515 1242065501030 2484131002060 3105163752575 6210327505150 12420655010300