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12561349980 = 22351721315779
BaseRepresentation
bin10111011001011011…
…01111110101011100
31012102102101200202110
423230231233311130
5201211201144410
65434241154020
7623165466414
oct135455576534
935372350673
1012561349980
115366611183
12252692b910
13125254a18a
148723c3644
154d7ba6720
hex2ecb6fd5c

12561349980 has 96 divisors (see below), whose sum is σ = 37264631040. Its totient is φ = 3150627840.

The previous prime is 12561349967. The next prime is 12561349993. The reversal of 12561349980 is 8994316521.

It is an interprime number because it is at equal distance from previous prime (12561349967) and next prime (12561349993).

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, 2170731 + ... + 2176509.

It is an arithmetic number, because the mean of its divisors is an integer number (388173240).

Almost surely, 212561349980 is an apocalyptic number.

12561349980 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 12561349980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632315520).

12561349980 is an abundant number, since it is smaller than the sum of its proper divisors (24703281060).

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

12561349980 is a wasteful number, since it uses less digits than its factorization.

12561349980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7939 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 12561349980 in words is "twelve billion, five hundred sixty-one million, three hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2131 4262 5779 6393 8524 10655 11558 12786 17337 21310 23116 25572 28895 31965 34674 36227 42620 57790 63930 69348 72454 86685 98243 108681 115580 127860 144908 173370 181135 196486 217362 294729 346740 362270 392972 434724 491215 543405 589458 724540 982430 1086810 1178916 1473645 1964860 2173620 2947290 5894580 12315049 24630098 36945147 49260196 61575245 73890294 123150490 147780588 184725735 209355833 246300980 369451470 418711666 628067499 738902940 837423332 1046779165 1256134998 2093558330 2512269996 3140337495 4187116660 6280674990 12561349980