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412126121 = 112172331281
BaseRepresentation
bin11000100100001…
…000101110101001
31001201111011202102
4120210020232221
51321001013441
6104521143145
713133004611
oct3044105651
91051434672
10412126121
111a16a8500
12b602aab5
13674c8b14
143ca3da41
15262ab69b
hex18908ba9

412126121 has 48 divisors (see below), whose sum is σ = 518482944. Its totient is φ = 325248000.

The previous prime is 412126111. The next prime is 412126129. The reversal of 412126121 is 121621214.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-412126121 is a prime.

It is a super-2 number, since 2×4121261212 = 339695879221013282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412126093 and 412126102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412126129) 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, 1466501 + ... + 1466781.

It is an arithmetic number, because the mean of its divisors is an integer number (10801728).

Almost surely, 2412126121 is an apocalyptic number.

It is an amenable number.

412126121 is a deficient number, since it is larger than the sum of its proper divisors (106356823).

412126121 is a wasteful number, since it uses less digits than its factorization.

412126121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 412126121 is about 20300.8896603080. The cubic root of 412126121 is about 744.1778062189.

Adding to 412126121 its reverse (121621214), we get a palindrome (533747335).

The spelling of 412126121 in words is "four hundred twelve million, one hundred twenty-six thousand, one hundred twenty-one".

Divisors: 1 11 17 23 31 121 187 253 281 341 391 527 713 2057 2783 3091 3751 4301 4777 5797 6463 7843 8711 12121 34001 47311 52547 63767 71093 86273 95821 109871 133331 148087 200353 578017 782023 1054031 1208581 1466641 1628957 2203883 3406001 13294391 17918527 24242713 37466011 412126121