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12241487820 = 22351579411381
BaseRepresentation
bin10110110011010011…
…00100011111001100
31011121010112000100210
423121221210133030
5200032310102240
65342413322420
7612232633602
oct133151443714
934533460323
1012241487820
115212000a91
122457796410
1312011b6923
14841b1d872
154b9a72780
hex2d9a647cc

12241487820 has 96 divisors (see below), whose sum is σ = 34556147136. Its totient is φ = 3237811200.

The previous prime is 12241487773. The next prime is 12241487821. The reversal of 12241487820 is 2878414221.

It is not an unprimeable number, because it can be changed into a prime (12241487821) 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, 8863530 + ... + 8864910.

It is an arithmetic number, because the mean of its divisors is an integer number (359959866).

Almost surely, 212241487820 is an apocalyptic number.

12241487820 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 12241487820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278073568).

12241487820 is an abundant number, since it is smaller than the sum of its proper divisors (22314659316).

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

12241487820 is a wasteful number, since it uses less digits than its factorization.

12241487820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 12241487820 in words is "twelve billion, two hundred forty-one million, four hundred eighty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 941 942 1381 1570 1882 1884 2355 2762 2823 3140 3764 4143 4705 4710 5524 5646 6905 8286 9410 9420 11292 13810 14115 16572 18820 20715 27620 28230 41430 56460 82860 147737 216817 295474 433634 443211 590948 650451 738685 867268 886422 1084085 1299521 1300902 1477370 1772844 2168170 2216055 2599042 2601804 2954740 3252255 3898563 4336340 4432110 5198084 6497605 6504510 7797126 8864220 12995210 13009020 15594252 19492815 25990420 38985630 77971260 204024797 408049594 612074391 816099188 1020123985 1224148782 2040247970 2448297564 3060371955 4080495940 6120743910 12241487820