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12000023221120 = 275111704548753
BaseRepresentation
bin1010111010011111100100…
…0111110001001110000000
31120111012011020202212011221
42232213321013301032000
53033102021421033440
641304422355444424
72345654522255404
oct256477107611600
946435136685157
1012000023221120
1139071aa2a5210
1214198275b6714
1369079c4601ac
142d6b38b05104
1515c234eaad4a
hexae9f91f1380

12000023221120 has 64 divisors (see below), whose sum is σ = 31295515123440. Its totient is φ = 4363644805120.

The previous prime is 12000023221117. The next prime is 12000023221129. The reversal of 12000023221120 is 2112232000021.

It is a happy number.

12000023221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12000023221094 and 12000023221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000023221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852267337 + ... + 852281416.

Almost surely, 212000023221120 is an apocalyptic number.

12000023221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000023221120 is an abundant number, since it is smaller than the sum of its proper divisors (19295491902320).

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

12000023221120 is a wasteful number, since it uses less digits than its factorization.

12000023221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704548783 (or 1704548771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12000023221120 its reverse (2112232000021), we get a palindrome (14112255221141).

The spelling of 12000023221120 in words is "twelve trillion, twenty-three million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1704548753 3409097506 6818195012 8522743765 13636390024 17045487530 18750036283 27272780048 34090975060 37500072566 54545560096 68181950120 75000145132 93750181415 109091120192 136363900240 150000290264 187500362830 218182240384 272727800480 300000580528 375000725660 545455600960 600001161056 750001451320 1090911201920 1200002322112 1500002902640 2400004644224 3000005805280 6000011610560 12000023221120