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12141122231040 = 283511287431871
BaseRepresentation
bin1011000010101101001101…
…0001110001101100000000
31120222200100200110020010020
42300223103101301230000
53042410004242343130
641453315441133440
72362111220125305
oct260532321615400
946880320406106
1012141122231040
113961025a87810
12144104532a280
136a0b979172ca
142dd8c22950ac
15160c42419e10
hexb0ad3471b00

12141122231040 has 144 divisors (see below), whose sum is σ = 42300773738496. Its totient is φ = 2943302348800.

The previous prime is 12141122230987. The next prime is 12141122231087. The reversal of 12141122231040 is 4013222114121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12141122231040.

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, 143673696 + ... + 143758175.

It is an arithmetic number, because the mean of its divisors is an integer number (293755373184).

Almost surely, 212141122231040 is an apocalyptic number.

12141122231040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141122231040 is an abundant number, since it is smaller than the sum of its proper divisors (30159651507456).

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

12141122231040 is a wasteful number, since it uses less digits than its factorization.

12141122231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287431906 (or 287431892 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12141122231040 its reverse (4013222114121), we get a palindrome (16154344345161).

The spelling of 12141122231040 in words is "twelve trillion, one hundred forty-one billion, one hundred twenty-two million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 287431871 574863742 862295613 1149727484 1437159355 1724591226 2299454968 2874318710 3161750581 3449182452 4311478065 4598909936 5748637420 6323501162 6898364904 8622956130 9197819872 9485251743 11497274840 12647002324 13796729808 15808752905 17245912260 18395639744 18970503486 22994549680 25294004648 27593459616 31617505810 34491824520 36791279488 37941006972 45989099360 47426258715 50588009296 55186919232 63235011620 68983649040 73582558976 75882013944 91978198720 94852517430 101176018592 110373838464 126470023240 137967298080 151764027888 183956397440 189705034860 202352037184 220747676928 252940046480 275934596160 303528055776 367912794880 379410069720 404704074368 505880092960 551869192320 607056111552 758820139440 809408148736 1011760185920 1103738384640 1214112223104 1517640278880 2023520371840 2428224446208 3035280557760 4047040743680 6070561115520 12141122231040