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12166200640 = 2651129119183
BaseRepresentation
bin10110101010010100…
…10111110101000000
31011101212212000202201
423111022113311000
5144404021410030
65331123522544
7610326666466
oct132512276500
934355760681
1012166200640
115183559680
122436529454
1311bb7166b9
14835b22836
154b31502ca
hex2d5297d40

12166200640 has 112 divisors (see below), whose sum is σ = 32694554880. Its totient is φ = 4271482880.

The previous prime is 12166200619. The next prime is 12166200643. The reversal of 12166200640 is 4600266121.

It is a junction number, because it is equal to n+sod(n) for n = 12166200599 and 12166200608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166200643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42489 + ... + 161671.

Almost surely, 212166200640 is an apocalyptic number.

12166200640 is a gapful number since it is divisible by the number (10) 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 12166200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16347277440).

12166200640 is an abundant number, since it is smaller than the sum of its proper divisors (20528354240).

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

12166200640 is a wasteful number, since it uses less digits than its factorization.

12166200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119240 (or 119230 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 12166200640 its reverse (4600266121), we get a palindrome (16766466761).

The spelling of 12166200640 in words is "twelve billion, one hundred sixty-six million, two hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 145 160 176 220 232 290 319 320 352 440 464 580 638 704 880 928 1160 1276 1595 1760 1856 2320 2552 3190 3520 4640 5104 6380 9280 10208 12760 20416 25520 51040 102080 119183 238366 476732 595915 953464 1191830 1311013 1906928 2383660 2622026 3456307 3813856 4767320 5244052 6555065 6912614 7627712 9534640 10488104 13110130 13825228 17281535 19069280 20976208 26220260 27650456 34563070 38019377 38138560 41952416 52440520 55300912 69126140 76038754 83904832 104881040 110601824 138252280 152077508 190096885 209762080 221203648 276504560 304155016 380193770 419524160 553009120 608310032 760387540 1106018240 1216620064 1520775080 2433240128 3041550160 6083100320 12166200640