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12378202992 = 24321916727091
BaseRepresentation
bin10111000011100110…
…00110001101110000
31011221122202212022200
423201303012031300
5200322304443432
65404135503200
7615512663241
oct134163061560
934848685280
1012378202992
11528219a131
122495527b00
131223613a8c
14855d4acc8
154c6a7aa7c
hex2e1cc6370

12378202992 has 120 divisors (see below), whose sum is σ = 36684735360. Its totient is φ = 3885356160.

The previous prime is 12378202961. The next prime is 12378203017. The reversal of 12378202992 is 29920287321.

It is a happy number.

It is a super-2 number, since 2×123782029922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443367 + ... + 470457.

It is an arithmetic number, because the mean of its divisors is an integer number (305706128).

Almost surely, 212378202992 is an apocalyptic number.

12378202992 is a gapful number since it is divisible by the number (12) 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 12378202992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18342367680).

12378202992 is an abundant number, since it is smaller than the sum of its proper divisors (24306532368).

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

12378202992 is a wasteful number, since it uses less digits than its factorization.

12378202992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27291 (or 27282 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12378202992 in words is "twelve billion, three hundred seventy-eight million, two hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 167 171 228 304 334 342 456 501 668 684 912 1002 1336 1368 1503 2004 2672 2736 3006 3173 4008 6012 6346 8016 9519 12024 12692 19038 24048 25384 27091 28557 38076 50768 54182 57114 76152 81273 108364 114228 152304 162546 216728 228456 243819 325092 433456 456912 487638 514729 650184 975276 1029458 1300368 1544187 1950552 2058916 3088374 3901104 4117832 4524197 4632561 6176748 8235664 9048394 9265122 12353496 13572591 18096788 18530244 24706992 27145182 36193576 37060488 40717773 54290364 72387152 74120976 81435546 85959743 108580728 162871092 171919486 217161456 257879229 325742184 343838972 515758458 651484368 687677944 773637687 1031516916 1375355888 1547275374 2063033832 3094550748 4126067664 6189101496 12378202992