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2012010120 = 2332517931223
BaseRepresentation
bin111011111101100…
…1101011010001000
312012012221201000100
41313323031122020
513110033310440
6531352205400
7100600542501
oct16773153210
95165851010
102012010120
119427aaa8a
12481999860
13260ac0b43
14151303ba8
15bb986230
hex77ecd688

2012010120 has 96 divisors (see below), whose sum is σ = 6575774400. Its totient is φ = 533521536.

The previous prime is 2012010101. The next prime is 2012010151. The reversal of 2012010120 is 210102102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48829 + ... + 80051.

It is an arithmetic number, because the mean of its divisors is an integer number (68497650).

Almost surely, 22012010120 is an apocalyptic number.

2012010120 is a gapful number since it is divisible by the number (20) 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 2012010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287887200).

2012010120 is an abundant number, since it is smaller than the sum of its proper divisors (4563764280).

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

2012010120 is a wasteful number, since it uses less digits than its factorization.

2012010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31419 (or 31412 counting only the distinct ones).

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

The square root of 2012010120 is about 44855.4357909942. The cubic root of 2012010120 is about 1262.4379856478.

Adding to 2012010120 its reverse (210102102), we get a palindrome (2222112222).

The spelling of 2012010120 in words is "two billion, twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 716 895 1074 1432 1611 1790 2148 2685 3222 3580 4296 5370 6444 7160 8055 10740 12888 16110 21480 31223 32220 62446 64440 93669 124892 156115 187338 249784 281007 312230 374676 468345 562014 624460 749352 936690 1124028 1248920 1405035 1873380 2248056 2810070 3746760 5588917 5620140 11177834 11240280 16766751 22355668 27944585 33533502 44711336 50300253 55889170 67067004 83833755 100600506 111778340 134134008 167667510 201201012 223556680 251501265 335335020 402402024 503002530 670670040 1006005060 2012010120