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12300321233440 = 255399371924957
BaseRepresentation
bin1011001011111110010001…
…0001110001101000100000
31121112220021112110110222101
42302333210101301220200
53103012024213432230
642054404540220144
72406445266251452
oct262774421615040
947486245413871
1012300321233440
113a1259a738589
121467a7483a654
136b2bb8c41c46
143074a56602d2
15164e5d8d4aca
hexb2fe4471a20

12300321233440 has 48 divisors (see below), whose sum is σ = 29060251644312. Its totient is φ = 4920002740224.

The previous prime is 12300321233413. The next prime is 12300321233531. The reversal of 12300321233440 is 4433212300321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8664145154064 + 3636176079376 = 2943492^2 + 1906876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12300321233399 and 12300321233408.

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, 5427442 + ... + 7352398.

Almost surely, 212300321233440 is an apocalyptic number.

12300321233440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300321233440 is an abundant number, since it is smaller than the sum of its proper divisors (16759930410872).

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

12300321233440 is a wasteful number, since it uses less digits than its factorization.

12300321233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964909 (or 1964901 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 12300321233440 its reverse (4433212300321), we get a palindrome (16733533533761).

The spelling of 12300321233440 in words is "twelve trillion, three hundred billion, three hundred twenty-one million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 39937 79874 159748 199685 319496 399370 638992 798740 1277984 1597480 1924957 3194960 3849914 6389920 7699828 9624785 15399656 19249570 30799312 38499140 61598624 76998280 153996560 307993120 76877007709 153754015418 307508030836 384385038545 615016061672 768770077090 1230032123344 1537540154180 2460064246688 3075080308360 6150160616720 12300321233440