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12023001000 = 2332531335889
BaseRepresentation
bin10110011001010000…
…00110111110101000
31011000220101201210100
423030220012332220
5144110342013000
65305010345400
7603640552023
oct131450067650
934026351710
1012023001000
11510a74166a
1223b658b260
131197b58b9a
14820ac81ba
154a57b5a00
hex2cca06fa8

12023001000 has 96 divisors (see below), whose sum is σ = 40637773800. Its totient is φ = 3206131200.

The previous prime is 12023000963. The next prime is 12023001017. The reversal of 12023001000 is 10032021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 893172996 + 11129828004 = 29886^2 + 105498^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 658945 + ... + 676944.

Almost surely, 212023001000 is an apocalyptic number.

12023001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023001000 is an abundant number, since it is smaller than the sum of its proper divisors (28614772800).

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

12023001000 is a wasteful number, since it uses less digits than its factorization.

12023001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335916 (or 1335899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12023001000 its reverse (10032021), we get a palindrome (12033033021).

The spelling of 12023001000 in words is "twelve billion, twenty-three million, one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1335889 2671778 4007667 5343556 6679445 8015334 10687112 12023001 13358890 16030668 20038335 24046002 26717780 32061336 33397225 40076670 48092004 53435560 60115005 66794450 80153340 96184008 100191675 120230010 133588900 160306680 166986125 200383350 240460020 267177800 300575025 333972250 400766700 480920040 500958375 601150050 667944500 801533400 1001916750 1202300100 1335889000 1502875125 2003833500 2404600200 3005750250 4007667000 6011500500 12023001000