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12242400424221 = 311472178581197
BaseRepresentation
bin1011001000100110011111…
…1011011011000100011101
31121100100202221020111210010
42302021213323123010131
53101034414002033341
642012025304233433
72402325044431452
oct262114773330435
947310687214703
1012242400424221
11399aa77976310
1214587ab16b879
136aa5b8198076
1430476cd9b829
151636bd988716
hexb2267edb11d

12242400424221 has 16 divisors (see below), whose sum is σ = 17810900013888. Its totient is φ = 7418064902400.

The previous prime is 12242400424211. The next prime is 12242400424223.

12242400424221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12242400424221 - 239 = 11692644610333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242400424223) 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, 39134806 + ... + 39446391.

It is an arithmetic number, because the mean of its divisors is an integer number (1113181250868).

Almost surely, 212242400424221 is an apocalyptic number.

12242400424221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12242400424221 is a deficient number, since it is larger than the sum of its proper divisors (5568499589667).

12242400424221 is a wasteful number, since it uses less digits than its factorization.

12242400424221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78585932.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 12242400 and 424221, that added together give a palindrome (12666621).

The spelling of 12242400424221 in words is "twelve trillion, two hundred forty-two billion, four hundred million, four hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 11 33 4721 14163 51931 155793 78581197 235743591 864393167 2593179501 370981831037 1112945493111 4080800141407 12242400424221