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4001212121004 = 22327127125022251
BaseRepresentation
bin111010001110011010110…
…100111011111110101100
3112011111211100111211100200
4322032122310323332230
51011023440300333004
612302044221553500
7562035523603440
oct72163264737654
915144740454320
104001212121004
1113029a4a2706a
12547565a15890
1323040ac74cb7
14db934306820
156e1325dc239
hex3a39ad3bfac

4001212121004 has 72 divisors (see below), whose sum is σ = 11650073530368. Its totient is φ = 1134201852000.

The previous prime is 4001212121003. The next prime is 4001212121009.

4001212121004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4001212121003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62479122 + ... + 62543129.

Almost surely, 24001212121004 is an apocalyptic number.

It is an amenable number.

4001212121004 is an abundant number, since it is smaller than the sum of its proper divisors (7648861409364).

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

4001212121004 is a wasteful number, since it uses less digits than its factorization.

4001212121004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125022395 (or 125022390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 4001212121004 in words is "four trillion, one billion, two hundred twelve million, one hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 8001 10668 16002 32004 125022251 250044502 375066753 500089004 750133506 875155757 1125200259 1500267012 1750311514 2250400518 2625467271 3500623028 4500801036 5250934542 7876401813 10501869084 15752803626 15877825877 31505607252 31755651754 47633477631 63511303508 95266955262 111144781139 142900432893 190533910524 222289562278 285800865786 333434343417 444579124556 571601731572 666868686834 1000303030251 1333737373668 2000606060502 4001212121004