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12202442334401 = 1117433733406517
BaseRepresentation
bin1011000110010001101000…
…1111011010000011000001
31121012112122012001020020112
42301210122033122003001
53044411100214200101
641541420303521105
72366411616322664
oct261443217320301
947175565036215
1012202442334401
113985032642a90
121450ab92b9195
136a68ba9ca937
1430285c1bd6db
151626309ce6bb
hexb191a3da0c1

12202442334401 has 32 divisors (see below), whose sum is σ = 14426484766848. Its totient is φ = 10195031024640.

The previous prime is 12202442334391. The next prime is 12202442334461. The reversal of 12202442334401 is 10443324420221.

It is a happy number.

It is not a de Polignac number, because 12202442334401 - 242 = 7804395823297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12202442334461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29813795 + ... + 30220311.

It is an arithmetic number, because the mean of its divisors is an integer number (450827648964).

Almost surely, 212202442334401 is an apocalyptic number.

12202442334401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202442334401 is a deficient number, since it is larger than the sum of its proper divisors (2224042432447).

12202442334401 is a wasteful number, since it uses less digits than its factorization.

12202442334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410321.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12202442334401 its reverse (10443324420221), we get a palindrome (22645766754622).

The spelling of 12202442334401 in words is "twelve trillion, two hundred two billion, four hundred forty-two million, three hundred thirty-four thousand, four hundred one".

Divisors: 1 11 17 43 187 473 731 3733 8041 41063 63461 160519 406517 698071 1765709 2728823 4471687 6910789 17480231 30017053 76018679 192282541 297163927 1517527961 3268803197 16692807571 25797975337 65253702323 283777728707 717790725553 1109312939491 12202442334401