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12042313022000 = 2453471011268413
BaseRepresentation
bin1010111100111101000111…
…0010100011101000110000
31120122020022111111022222102
42233033101302203220300
53034300124113201000
641340055012555532
72352012512531462
oct257172162435060
946566274438872
1012042313022000
113923130838578
121425a6a322ba8
1369477ba26501
142d8bcb448132
1515d3ac9ec3d5
hexaf3d1ca3a30

12042313022000 has 160 divisors (see below), whose sum is σ = 30032309309184. Its totient is φ = 4667756160000.

The previous prime is 12042313021979. The next prime is 12042313022009. The reversal of 12042313022000 is 22031324021.

12042313022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12042313022009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8859794 + ... + 10128206.

Almost surely, 212042313022000 is an apocalyptic number.

12042313022000 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 12042313022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016154654592).

12042313022000 is an abundant number, since it is smaller than the sum of its proper divisors (17989996287184).

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

12042313022000 is a wasteful number, since it uses less digits than its factorization.

12042313022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268584 (or 1268568 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12042313022000 its reverse (22031324021), we get a palindrome (12064344346021).

The spelling of 12042313022000 in words is "twelve trillion, forty-two billion, three hundred thirteen million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 101 125 188 200 202 235 250 376 400 404 470 500 505 752 808 940 1000 1010 1175 1616 1880 2000 2020 2350 2525 3760 4040 4700 4747 5050 5875 8080 9400 9494 10100 11750 12625 18800 18988 20200 23500 23735 25250 37976 40400 47000 47470 50500 75952 94000 94940 101000 118675 189880 202000 237350 379760 474700 593375 949400 1186750 1268413 1898800 2373500 2536826 4747000 5073652 6342065 9494000 10147304 12684130 20294608 25368260 31710325 50736520 59615411 63420650 101473040 119230822 126841300 128109713 158551625 238461644 253682600 256219426 298077055 317103250 476923288 507365200 512438852 596154110 634206500 640548565 953846576 1024877704 1192308220 1268413000 1281097130 1490385275 2049755408 2384616440 2536826000 2562194260 2980770550 3202742825 4769232880 5124388520 5961541100 6021156511 6405485650 7451926375 10248777040 11923082200 12042313022 12810971300 14903852750 16013714125 23846164400 24084626044 25621942600 29807705500 30105782555 32027428250 48169252088 51243885200 59615411000 60211565110 64054856500 96338504176 119230822000 120423130220 128109713000 150528912775 240846260440 256219426000 301057825550 481692520880 602115651100 752644563875 1204231302200 1505289127750 2408462604400 3010578255500 6021156511000 12042313022000