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1122433321120 = 255291132140741
BaseRepresentation
bin10000010101010110001…
…111010100100010100000
310222022012022022120000221
4100111112033110202200
5121342220412233440
62215345545252424
7144043641545056
oct20252617244240
93868168276027
101122433321120
113a3026391201
12161650794114
1381aca637397
143c47ca041d6
151e2e5175d4a
hex105563d48a0

1122433321120 has 96 divisors (see below), whose sum is σ = 2767465627920. Its totient is φ = 429655080960.

The previous prime is 1122433321057. The next prime is 1122433321129. The reversal of 1122433321120 is 211233342211.

It can be written as a sum of positive squares in 8 ways, for example, as 452320812304 + 670112508816 = 672548^2 + 818604^2 .

It is not an unprimeable number, because it can be changed into a prime (1122433321129) 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, 546051 + ... + 1594690.

Almost surely, 21122433321120 is an apocalyptic number.

1122433321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122433321120 is an abundant number, since it is smaller than the sum of its proper divisors (1645032306800).

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

1122433321120 is a wasteful number, since it uses less digits than its factorization.

1122433321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140898 (or 2140890 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1122433321120 its reverse (211233342211), we get a palindrome (1333666663331).

The spelling of 1122433321120 in words is "one trillion, one hundred twenty-two billion, four hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 113 116 145 160 226 232 290 452 464 565 580 904 928 1130 1160 1808 2260 2320 3277 3616 4520 4640 6554 9040 13108 16385 18080 26216 32770 52432 65540 104864 131080 262160 524320 2140741 4281482 8562964 10703705 17125928 21407410 34251856 42814820 62081489 68503712 85629640 124162978 171259280 241903733 248325956 310407445 342518560 483807466 496651912 620814890 967614932 993303824 1209518665 1241629780 1935229864 1986607648 2419037330 2483259560 3870459728 4838074660 4966519120 7015208257 7740919456 9676149320 9933038240 14030416514 19352298640 28060833028 35076041285 38704597280 56121666056 70152082570 112243332112 140304165140 224486664224 280608330280 561216660560 1122433321120