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12420452331 = 337217552241
BaseRepresentation
bin10111001000101000…
…10000111111101011
31012001121021100112000
423210110100333223
5200414113433311
65412245222043
7616535050200
oct134424207753
935047240460
1012420452331
1152a4026741
1224a7701923
13122c2b73a1
1485b7c7ca7
154ca624056
hex2e4510feb

12420452331 has 48 divisors (see below), whose sum is σ = 22664011680. Its totient is φ = 6679895040.

The previous prime is 12420452329. The next prime is 12420452339. The reversal of 12420452331 is 13325402421.

12420452331 is a `hidden beast` number, since 1 + 2 + 420 + 4 + 5 + 233 + 1 = 666.

It is not a de Polignac number, because 12420452331 - 21 = 12420452329 is a prime.

It is a super-2 number, since 2×124204523312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12420452295 and 12420452304.

It is not an unprimeable number, because it can be changed into a prime (12420452339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253630 + ... + 298611.

It is an arithmetic number, because the mean of its divisors is an integer number (472166910).

Almost surely, 212420452331 is an apocalyptic number.

12420452331 is a deficient number, since it is larger than the sum of its proper divisors (10243559349).

12420452331 is a wasteful number, since it uses less digits than its factorization.

12420452331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552281 (or 552268 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12420452331 its reverse (13325402421), we get a palindrome (25745854752).

The spelling of 12420452331 in words is "twelve billion, four hundred twenty million, four hundred fifty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 357 441 459 833 1071 1323 2499 3213 7497 22491 552241 1656723 3865687 4970169 9388097 11597061 14910507 27059809 28164291 34791183 65716679 81179427 84492873 104373549 197150037 243538281 253478619 460016753 591450111 730614843 1380050259 1774350333 4140150777 12420452331