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12401222210421 = 3116110169078831
BaseRepresentation
bin1011010001110110001001…
…1100011101001101110101
31121220112201111110012021220
42310131202130131031311
53111140200341213141
642213013130300553
72416646563355142
oct264354234351565
947815644405256
1012401222210421
113a51368702a60
121483534287759
136bc5792ca955
1430c3182133c9
151678b6c90766
hexb476271d375

12401222210421 has 64 divisors (see below), whose sum is σ = 18520149491712. Its totient is φ = 7317597600000.

The previous prime is 12401222210393. The next prime is 12401222210423.

12401222210421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12401222210421 - 218 = 12401221948277 is a prime.

It is a super-2 number, since 2×124012222104212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12401222210391 and 12401222210400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401222210423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1404278476 + ... + 1404287306.

It is an arithmetic number, because the mean of its divisors is an integer number (289377335808).

Almost surely, 212401222210421 is an apocalyptic number.

12401222210421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12401222210421 is a deficient number, since it is larger than the sum of its proper divisors (6118927281291).

12401222210421 is a wasteful number, since it uses less digits than its factorization.

12401222210421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15914.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1240122 and 2210421, that added together give a palindrome (3450543).

The spelling of 12401222210421 in words is "twelve trillion, four hundred one billion, two hundred twenty-two million, two hundred ten thousand, four hundred twenty-one".

Divisors: 1 3 11 33 61 101 183 303 671 1111 2013 3333 6161 6907 8831 18483 20721 26493 67771 75977 97141 203313 227931 291423 421327 538691 697607 891931 1263981 1616073 2092821 2675793 4634597 5925601 7673677 9811241 13903791 17776803 23021031 29433723 42554027 54407791 60995717 127662081 163223373 182987151 468094297 598485701 670952887 1404282891 1795457103 2012858661 3720738737 6160567417 11162216211 18481702251 40928126107 67766241587 122784378321 203298724761 375794612437 1127383837311 4133740736807 12401222210421