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12341200145616 = 2432591452589471
BaseRepresentation
bin1011001110010110100011…
…0110011100110011010000
31121200210210110100101022200
42303211220312130303100
53104144234214124431
642125245153203200
72412423305261436
oct263455066346320
947623713311280
1012341200145616
113a28967825321
121473982b60500
136b6a02116584
14309462858d56
1516605262eee6
hexb3968d9ccd0

12341200145616 has 60 divisors (see below), whose sum is σ = 35123613432960. Its totient is φ = 4044009084480.

The previous prime is 12341200145591. The next prime is 12341200145669. The reversal of 12341200145616 is 61654100214321.

12341200145616 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 20 + 0 + 14 + 5 + 616 = 666.

12341200145616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726286240 + ... + 726303231.

It is an arithmetic number, because the mean of its divisors is an integer number (585393557216).

Almost surely, 212341200145616 is an apocalyptic number.

12341200145616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12341200145616 is an abundant number, since it is smaller than the sum of its proper divisors (22782413287344).

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

12341200145616 is a wasteful number, since it uses less digits than its factorization.

12341200145616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452589544 (or 1452589535 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 12341200145616 its reverse (61654100214321), we get a palindrome (73995300359937).

The spelling of 12341200145616 in words is "twelve trillion, three hundred forty-one billion, two hundred million, one hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 1452589471 2905178942 4357768413 5810357884 8715536826 11620715768 13073305239 17431073652 23241431536 26146610478 34862147304 52293220956 69724294608 85702778789 104586441912 171405557578 209172883824 257108336367 342811115156 514216672734 685622230312 771325009101 1028433345468 1371244460624 1542650018202 2056866690936 3085300036404 4113733381872 6170600072808 12341200145616