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12132114420 = 22351274333677
BaseRepresentation
bin10110100110010000…
…10101111111110100
31011022111201021021010
423103020111333310
5144321310130140
65323505152220
7606434161656
oct132310257764
934274637233
1012132114420
115166298148
12242702b670
1311b464083a
148313ac6d6
154b016a880
hex2d3215ff4

12132114420 has 96 divisors (see below), whose sum is σ = 34325803008. Its totient is φ = 3201472512.

The previous prime is 12132114409. The next prime is 12132114433. The reversal of 12132114420 is 2441123121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3297622 + ... + 3301298.

It is an arithmetic number, because the mean of its divisors is an integer number (357560448).

Almost surely, 212132114420 is an apocalyptic number.

12132114420 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 12132114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162901504).

12132114420 is an abundant number, since it is smaller than the sum of its proper divisors (22193688588).

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

12132114420 is a wasteful number, since it uses less digits than its factorization.

12132114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12132114420 its reverse (2441123121), we get a palindrome (14573237541).

The spelling of 12132114420 in words is "twelve billion, one hundred thirty-two million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 433 508 635 762 866 1270 1299 1524 1732 1905 2165 2540 2598 3677 3810 4330 5196 6495 7354 7620 8660 11031 12990 14708 18385 22062 25980 36770 44124 54991 55155 73540 109982 110310 164973 219964 220620 274955 329946 466979 549910 659892 824865 933958 1099820 1400937 1592141 1649730 1867916 2334895 2801874 3184282 3299460 4669790 4776423 5603748 6368564 7004685 7960705 9339580 9552846 14009370 15921410 19105692 23882115 28018740 31842820 47764230 95528460 202201907 404403814 606605721 808807628 1011009535 1213211442 2022019070 2426422884 3033028605 4044038140 6066057210 12132114420