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12010122112002 = 2372337509238151
BaseRepresentation
bin1010111011000101001100…
…0011111110110000000010
31120112011020001121200002120
42232301103003332300002
53033233212230041002
641313212434025110
72346463010363100
oct256612303766002
946464201550076
1012010122112002
113910511913423
12141b785718196
1369171b793381
142d741604ac70
1515c62689ecbc
hexaec530fec02

12010122112002 has 96 divisors (see below), whose sum is σ = 28080006963840. Its totient is φ = 3414545164800.

The previous prime is 12010122111937. The next prime is 12010122112013. The reversal of 12010122112002 is 20021122101021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50311627 + ... + 50549777.

It is an arithmetic number, because the mean of its divisors is an integer number (292500072540).

Almost surely, 212010122112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010122112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040003481920).

12010122112002 is an abundant number, since it is smaller than the sum of its proper divisors (16069884851838).

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

12010122112002 is a wasteful number, since it uses less digits than its factorization.

12010122112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239016 (or 239009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12010122112002 its reverse (20021122101021), we get a palindrome (32031244213023).

The spelling of 12010122112002 in words is "twelve trillion, ten billion, one hundred twenty-two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 337 509 674 1011 1018 1527 2022 2359 3054 3563 4718 7077 7126 10689 14154 16513 21378 24941 33026 49539 49882 74823 99078 149646 171533 238151 343066 476302 514599 714453 1029198 1200731 1428906 1667057 2401462 3334114 3602193 5001171 7204386 8405117 10002342 11669399 16810234 23338798 25215351 35008197 50430702 70016394 80256887 121218859 160513774 240770661 242437718 363656577 481541322 561798209 727313154 848532013 1123596418 1685394627 1697064026 2545596039 3370789254 3932587463 5091192078 5939724091 7865174926 11797762389 11879448182 17819172273 23595524778 35638344546 40850755483 81701510966 122552266449 245104532898 285955288381 571910576762 857865865143 1715731730286 2001687018667 4003374037334 6005061056001 12010122112002