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12100120002 = 23223673791151
BaseRepresentation
bin10110100010011100…
…10010110111000010
31011020021111210011200
423101032102313002
5144240112320002
65320403322030
7605565215535
oct132116226702
934207453150
1012100120002
11514a225283
122418380316
1311aab1ab29
1482b040a1c
154ac44ab1c
hex2d1392dc2

12100120002 has 96 divisors (see below), whose sum is σ = 27862548480. Its totient is φ = 3787106400.

The previous prime is 12100120001. The next prime is 12100120009. The reversal of 12100120002 is 20002100121.

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 (12100120001) 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, 10512127 + ... + 10513277.

It is an arithmetic number, because the mean of its divisors is an integer number (290234880).

Almost surely, 212100120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931274240).

12100120002 is an abundant number, since it is smaller than the sum of its proper divisors (15762428478).

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

12100120002 is a wasteful number, since it uses less digits than its factorization.

12100120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1625 counting only the distinct ones).

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

Adding to 12100120002 its reverse (20002100121), we get a palindrome (32102220123).

The spelling of 12100120002 in words is "twelve billion, one hundred million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 379 402 414 603 758 1137 1151 1206 1541 2274 2302 3082 3411 3453 4623 6822 6906 8717 9246 10359 13869 17434 20718 25393 26151 26473 27738 50786 52302 52946 76179 77117 78453 79419 152358 154234 156906 158838 228537 231351 238257 436229 457074 462702 476514 584039 694053 872458 1168078 1308687 1388106 1752117 1773691 2617374 3504234 3547382 3926061 5256351 5321073 7852122 10033267 10512702 10642146 15963219 20066534 29227343 30099801 31926438 58454686 60199602 87682029 90299403 175364058 180598806 263046087 526092174 672228889 1344457778 2016686667 4033373334 6050060001 12100120002