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12220341414432 = 253731743770179
BaseRepresentation
bin1011000111010100010100…
…0110111110101000100000
31121021020211121022201002120
42301311011012332220200
53100204224400230212
641553540343144240
72400614311101534
oct261650506765040
947236747281076
1012220341414432
113991688165808
121454473745080
136a84b1054a58
14303679459bc4
15162d2c0a088c
hexb1d451bea20

12220341414432 has 48 divisors (see below), whose sum is σ = 32517826316640. Its totient is φ = 4017646490112.

The previous prime is 12220341414397. The next prime is 12220341414473. The reversal of 12220341414432 is 23441414302221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12220341414393 and 12220341414402.

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, 871878082 + ... + 871892097.

It is an arithmetic number, because the mean of its divisors is an integer number (677454714930).

Almost surely, 212220341414432 is an apocalyptic number.

12220341414432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220341414432 is an abundant number, since it is smaller than the sum of its proper divisors (20297484902208).

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

12220341414432 is a wasteful number, since it uses less digits than its factorization.

12220341414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743770265 (or 1743770257 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 12220341414432 its reverse (23441414302221), we get a palindrome (35661755716653).

The spelling of 12220341414432 in words is "twelve trillion, two hundred twenty billion, three hundred forty-one million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 1743770179 3487540358 5231310537 6975080716 10462621074 13950161432 20925242148 27900322864 41850484296 55800645728 83700968592 127295223067 167401937184 254590446134 381885669201 509180892268 763771338402 1018361784536 1527542676804 2036723569072 3055085353608 4073447138144 6110170707216 12220341414432