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12354421000 = 2353101122321
BaseRepresentation
bin10111000000110000…
…11000000100001000
31011220000000121120011
423200120120010020
5200300212433000
65401530041304
7615103563055
oct134030300410
934800017504
1012354421000
11526a826399
122489579234
13121b7080ac
14852b1a02c
154c492e2ba
hex2e0618108

12354421000 has 64 divisors (see below), whose sum is σ = 29195814960. Its totient is φ = 4892800000.

The previous prime is 12354420983. The next prime is 12354421019. The reversal of 12354421000 is 12445321.

It can be written as a sum of positive squares in 8 ways, for example, as 1789459204 + 10564961796 = 42302^2 + 102786^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39840 + ... + 162160.

Almost surely, 212354421000 is an apocalyptic number.

12354421000 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 12354421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14597907480).

12354421000 is an abundant number, since it is smaller than the sum of its proper divisors (16841393960).

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

12354421000 is a wasteful number, since it uses less digits than its factorization.

12354421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122443 (or 122429 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 12354421000 its reverse (12445321), we get a palindrome (12366866321).

The spelling of 12354421000 in words is "twelve billion, three hundred fifty-four million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 122321 244642 489284 611605 978568 1223210 2446420 3058025 4892840 6116050 12232100 12354421 15290125 24464200 24708842 30580250 49417684 61160500 61772105 98835368 122321000 123544210 247088420 308860525 494176840 617721050 1235442100 1544302625 2470884200 3088605250 6177210500 12354421000