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12361066646412 = 22311172674836257
BaseRepresentation
bin1011001111100000100011…
…1111001000101110001100
31121202201001222200012002110
42303320020333020232030
53110010431030141122
642142332353224020
72414025516612021
oct263701077105614
947681058605073
1012361066646412
113a36331962420
1214777a8262010
136b8849c4baa3
1430a3c910d548
151668167ca90c
hexb3e08fc8b8c

12361066646412 has 144 divisors (see below), whose sum is σ = 33923138594688. Its totient is φ = 3472818708480.

The previous prime is 12361066646393. The next prime is 12361066646431. The reversal of 12361066646412 is 21464666016321.

12361066646412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12361066646393) and next prime (12361066646431).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137788 + ... + 4974044.

It is an arithmetic number, because the mean of its divisors is an integer number (235577351352).

Almost surely, 212361066646412 is an apocalyptic number.

12361066646412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12361066646412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16961569297344).

12361066646412 is an abundant number, since it is smaller than the sum of its proper divisors (21562071948276).

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

12361066646412 is a wasteful number, since it uses less digits than its factorization.

12361066646412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836376 (or 4836357 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 12361066646412 in words is "twelve trillion, three hundred sixty-one billion, sixty-six million, six hundred forty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 67 68 102 132 134 187 201 204 268 289 374 402 561 578 737 748 804 867 1122 1139 1156 1474 1734 2211 2244 2278 2948 3179 3417 3468 4422 4556 6358 6834 8844 9537 12529 12716 13668 19074 19363 25058 37587 38148 38726 50116 58089 75174 77452 116178 150348 212993 232356 425986 638979 851972 1277958 2555916 4836257 9672514 14508771 19345028 29017542 53198827 58035084 82216369 106397654 159596481 164432738 212795308 246649107 319192962 324029219 328865476 493298214 638385924 648058438 904380059 972087657 986596428 1296116876 1397678273 1808760118 1944175314 2713140177 2795356546 3564321409 3617520236 3888350628 4193034819 5426280354 5508496723 5590713092 7128642818 8386069638 10692964227 10852560708 11016993446 14257285636 15374461003 16525490169 16772139276 21385928454 22033986892 30748922006 33050980338 42771856908 46123383009 60593463953 61497844012 66101960676 92246766018 93644444291 121186927906 181780391859 184493532036 187288888582 242373855812 280933332873 363560783718 374577777164 561866665746 727121567436 1030088887201 1123733331492 2060177774402 3090266661603 4120355548804 6180533323206 12361066646412