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12022232000 = 265310114879
BaseRepresentation
bin10110011001001010…
…01011001111000000
31011000211221122220212
423030211023033000
5144110142411000
65304542053252
7603631200032
oct131445131700
934024848825
1012022232000
11510a266929
1223b627a228
131197949b5c
14820967c52
154a56b2c35
hex2cc94b3c0

12022232000 has 112 divisors (see below), whose sum is σ = 30069861120. Its totient is φ = 4760960000.

The previous prime is 12022231979. The next prime is 12022232003. The reversal of 12022232000 is 23222021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022232003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800561 + ... + 815439.

Almost surely, 212022232000 is an apocalyptic number.

12022232000 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 12022232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034930560).

12022232000 is an abundant number, since it is smaller than the sum of its proper divisors (18047629120).

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

12022232000 is a wasteful number, since it uses less digits than its factorization.

12022232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007 (or 14987 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12022232000 its reverse (23222021), we get a palindrome (12045454021).

The spelling of 12022232000 in words is "twelve billion, twenty-two million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 800 808 1000 1010 1600 1616 2000 2020 2525 3232 4000 4040 5050 6464 8000 8080 10100 12625 14879 16160 20200 25250 29758 32320 40400 50500 59516 74395 80800 101000 119032 148790 161600 202000 238064 297580 371975 404000 476128 595160 743950 808000 952256 1190320 1487900 1502779 1859875 2380640 2975800 3005558 3719750 4761280 5951600 6011116 7439500 7513895 11903200 12022232 14879000 15027790 23806400 24044464 29758000 30055580 37569475 48088928 59516000 60111160 75138950 96177856 119032000 120222320 150277900 187847375 240444640 300555800 375694750 480889280 601111600 751389500 1202223200 1502779000 2404446400 3005558000 6011116000 12022232000