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12341197104016 = 24112798412
BaseRepresentation
bin1011001110010110100010…
…1010110110001110010000
31121200210210020121212000211
42303211220222312032100
53104144232424312031
642125245004053504
72412423240363004
oct263455052661620
947623706555024
1012341197104016
113a28966038100
121473981b34294
136b6a015c0001
143094622a6704
1516605222dbb1
hexb3968ab6390

12341197104016 has 45 divisors (see below), whose sum is σ = 26282744302129. Its totient is φ = 5609564787200.

The previous prime is 12341197103987. The next prime is 12341197104029. The reversal of 12341197104016 is 61040179114321.

The square root of 12341197104016 is 3513004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8701343638416 + 3639853465600 = 2949804^2 + 1907840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12341197104016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 154532256 + ... + 154612096.

Almost surely, 212341197104016 is an apocalyptic number.

12341197104016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12341197104016 is the 3513004-th square number.

It is an amenable number.

12341197104016 is an abundant number, since it is smaller than the sum of its proper divisors (13941547198113).

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

12341197104016 is an frugal number, since it uses more digits than its factorization.

12341197104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159712 (or 79854 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 12341197104016 in words is "twelve trillion, three hundred forty-one billion, one hundred ninety-seven million, one hundred four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 79841 159682 319364 638728 878251 1277456 1756502 3513004 7026008 9660761 14052016 19321522 38643044 77286088 154572176 6374585281 12749170562 25498341124 50996682248 70120438091 101993364496 140240876182 280481752364 560963504728 771324819001 1121927009456 1542649638002 3085299276004 6170598552008 12341197104016