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12333430120 = 23511103272141
BaseRepresentation
bin10110111110010000…
…10011010101101000
31011211112112011111011
423133020103111220
5200224324230440
65355500113304
7614430266134
oct133710232550
934745464434
1012333430120
115259999660
122482535834
13121726895b
148500143c4
154c2b849ea
hex2df213568

12333430120 has 64 divisors (see below), whose sum is σ = 30566989440. Its totient is φ = 4441324800.

The previous prime is 12333430117. The next prime is 12333430127. The reversal of 12333430120 is 2103433321.

12333430120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123334301202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12333430091 and 12333430100.

It is not an unprimeable number, because it can be changed into a prime (12333430127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90751 + ... + 181390.

It is an arithmetic number, because the mean of its divisors is an integer number (477609210).

Almost surely, 212333430120 is an apocalyptic number.

12333430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333430120 is an abundant number, since it is smaller than the sum of its proper divisors (18233559320).

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

12333430120 is a wasteful number, since it uses less digits than its factorization.

12333430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272266 (or 272262 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12333430120 its reverse (2103433321), we get a palindrome (14436863441).

The spelling of 12333430120 in words is "twelve billion, three hundred thirty-three million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 4120 4532 5665 9064 11330 22660 45320 272141 544282 1088564 1360705 2177128 2721410 2993551 5442820 5987102 10885640 11974204 14967755 23948408 28030523 29935510 56061046 59871020 112122092 119742040 140152615 224244184 280305230 308335753 560610460 616671506 1121220920 1233343012 1541678765 2466686024 3083357530 6166715060 12333430120