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12197104040 = 23511251110441
BaseRepresentation
bin10110101110000000…
…10000100110101000
31011111001000002021002
423113000100212220
5144434424312130
65334150134132
7611153450042
oct132700204650
934431002232
1012197104040
115199a46880
122444951348
1311c4c46934
14839c88a92
154b5c06b45
hex2d70109a8

12197104040 has 64 divisors (see below), whose sum is σ = 30057894720. Its totient is φ = 4417600000.

The previous prime is 12197104009. The next prime is 12197104061. The reversal of 12197104040 is 4040179121.

It is a junction number, because it is equal to n+sod(n) for n = 12197103994 and 12197104012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55220 + ... + 165660.

It is an arithmetic number, because the mean of its divisors is an integer number (469654605).

Almost surely, 212197104040 is an apocalyptic number.

12197104040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 110440×110441.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12197104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028947360).

12197104040 is an abundant number, since it is smaller than the sum of its proper divisors (17860790680).

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

12197104040 is a wasteful number, since it uses less digits than its factorization.

12197104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110714 (or 110710 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 12197104040 in words is "twelve billion, one hundred ninety-seven million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 251 440 502 1004 1255 2008 2510 2761 5020 5522 10040 11044 13805 22088 27610 55220 110440 110441 220882 441764 552205 883528 1104410 1214851 2208820 2429702 4417640 4859404 6074255 9718808 12148510 24297020 27720691 48594040 55441382 110882764 138603455 221765528 277206910 304927601 554413820 609855202 1108827640 1219710404 1524638005 2439420808 3049276010 6098552020 12197104040