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12101220120 = 23351171129121
BaseRepresentation
bin10110100010100100…
…11111011100011000
31011020100120200020210
423101102133130120
5144240403020440
65320443051120
7605610450063
oct132122373430
934210520223
1012101220120
11514a906870
122418810aa0
1311ab1147a2
1482b2498da
154ac5b6a80
hex2d149f718

12101220120 has 128 divisors (see below), whose sum is σ = 40162106880. Its totient is φ = 2892288000.

The previous prime is 12101220119. The next prime is 12101220149. The reversal of 12101220120 is 2102210121.

12101220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12101220096 and 12101220105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29160 + ... + 158280.

It is an arithmetic number, because the mean of its divisors is an integer number (313766460).

Almost surely, 212101220120 is an apocalyptic number.

12101220120 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 12101220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20081053440).

12101220120 is an abundant number, since it is smaller than the sum of its proper divisors (28060886760).

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

12101220120 is a wasteful number, since it uses less digits than its factorization.

12101220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129217 (or 129213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12101220120 its reverse (2102210121), we get a palindrome (14203430241).

Subtracting from 12101220120 its reverse (2102210121), we obtain a palindrome (9999009999).

It can be divided in two parts, 12101 and 220120, that added together give a triangular number (232221 = T681).

The spelling of 12101220120 in words is "twelve billion, one hundred one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1065 1320 1420 1562 1704 2130 2343 2840 3124 3905 4260 4686 6248 7810 8520 9372 11715 15620 18744 23430 31240 46860 93720 129121 258242 387363 516484 645605 774726 1032968 1291210 1420331 1549452 1936815 2582420 2840662 3098904 3873630 4260993 5164840 5681324 7101655 7747260 8521986 9167591 11362648 14203310 15494520 17043972 18335182 21304965 27502773 28406620 34087944 36670364 42609930 45837955 55005546 56813240 73340728 85219860 91675910 100843501 110011092 137513865 170439720 183351820 201687002 220022184 275027730 302530503 366703640 403374004 504217505 550055460 605061006 806748008 1008435010 1100110920 1210122012 1512652515 2016870020 2420244024 3025305030 4033740040 6050610060 12101220120