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12101004 = 22322967173
BaseRepresentation
bin101110001010…
…010110001100
3211202210110100
4232022112030
511044213004
61111211100
7204566616
oct56122614
924683410
1012101004
116915733
124076a90
132678c76
14186ddb6
1510e0739
hexb8a58c

12101004 has 72 divisors (see below), whose sum is σ = 32301360. Its totient is φ = 3814272.

The previous prime is 12101003. The next prime is 12101009. The reversal of 12101004 is 40010121.

12101004 = T899 + T900 + ... + T927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69862 + ... + 70034.

It is an arithmetic number, because the mean of its divisors is an integer number (448630).

Almost surely, 212101004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150680).

12101004 is an abundant number, since it is smaller than the sum of its proper divisors (20200356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12101004 is a wasteful number, since it uses less digits than its factorization.

12101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12101004 is about 3478.6497380449. The cubic root of 12101004 is about 229.5833920251.

Adding to 12101004 its reverse (40010121), we get a palindrome (52111125).

The spelling of 12101004 in words is "twelve million, one hundred one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 67 87 116 134 173 174 201 261 268 346 348 402 519 522 603 692 804 1038 1044 1206 1557 1943 2076 2412 3114 3886 5017 5829 6228 7772 10034 11591 11658 15051 17487 20068 23182 23316 30102 34773 34974 45153 46364 60204 69546 69948 90306 104319 139092 180612 208638 336139 417276 672278 1008417 1344556 2016834 3025251 4033668 6050502 12101004