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12330210311120 = 2451311855971453
BaseRepresentation
bin1011001101101101100111…
…0011100011101111010000
31121122202102120000221112102
42303123121303203233100
53104004232314423440
642120230451015532
72411554051234562
oct263333163435720
947582376027472
1012330210311120
113a242382aaa79
12147181659a5a8
136b597033ac20
14308add073332
15165b0c8ecb15
hexb36d9ce3bd0

12330210311120 has 40 divisors (see below), whose sum is σ = 30872949666216. Its totient is φ = 4552693037568.

The previous prime is 12330210311101. The next prime is 12330210311131. The reversal of 12330210311120 is 2111301203321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 965274810256 + 11364935500864 = 982484^2 + 3371192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 12330210311092 and 12330210311101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5927984687 + ... + 5927986766.

Almost surely, 212330210311120 is an apocalyptic number.

12330210311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330210311120 is an abundant number, since it is smaller than the sum of its proper divisors (18542739355096).

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

12330210311120 is a wasteful number, since it uses less digits than its factorization.

12330210311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11855971479 (or 11855971473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12330210311120 its reverse (2111301203321), we get a palindrome (14441511514441).

The spelling of 12330210311120 in words is "twelve trillion, three hundred thirty billion, two hundred ten million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 11855971453 23711942906 47423885812 59279857265 94847771624 118559714530 154127628889 189695543248 237119429060 308255257778 474238858120 616510515556 770638144445 948477716240 1233021031112 1541276288890 2466042062224 3082552577780 6165105155560 12330210311120