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12101012120 = 2352912782141
BaseRepresentation
bin10110100010100011…
…01100101010011000
31011020100012002221002
423101101230222120
5144240324341440
65320434404132
7605605622501
oct132121545230
934210162832
1012101012120
11514a78456a
122418730648
1311ab070c02
1482b1d3ba8
154ac575115
hex2d146ca98

12101012120 has 64 divisors (see below), whose sum is σ = 28388275200. Its totient is φ = 4636638720.

The previous prime is 12101012113. The next prime is 12101012129. The reversal of 12101012120 is 2121010121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101012129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106250 + ... + 188390.

It is an arithmetic number, because the mean of its divisors is an integer number (443566800).

Almost surely, 212101012120 is an apocalyptic number.

12101012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194137600).

12101012120 is an abundant number, since it is smaller than the sum of its proper divisors (16287263080).

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

12101012120 is a wasteful number, since it uses less digits than its factorization.

12101012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82308 (or 82304 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12101012120 its reverse (2121010121), we get a palindrome (14222022241).

The spelling of 12101012120 in words is "twelve billion, one hundred one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 127 145 232 254 290 508 580 635 1016 1160 1270 2540 3683 5080 7366 14732 18415 29464 36830 73660 82141 147320 164282 328564 410705 657128 821410 1642820 2382089 3285640 4764178 9528356 10431907 11910445 19056712 20863814 23820890 41727628 47641780 52159535 83455256 95283560 104319070 208638140 302525303 417276280 605050606 1210101212 1512626515 2420202424 3025253030 6050506060 12101012120