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2122201101200 = 245219911306517
BaseRepresentation
bin11110111000011101000…
…010101111001110010000
321111212202211202222200012
4132320131002233032100
5234232231440214300
64302531542414052
7306216056504105
oct36703502571620
97455684688605
102122201101200
11749025217904
122a3368a31328
1312517977738b
1474a0227caac
153a30b31b435
hex1ee1d0af390

2122201101200 has 120 divisors (see below), whose sum is σ = 5372843675520. Its totient is φ = 803317132800.

The previous prime is 2122201101199. The next prime is 2122201101211. The reversal of 2122201101200 is 21011022212.

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, 6770342 + ... + 7076858.

It is an arithmetic number, because the mean of its divisors is an integer number (44773697296).

Almost surely, 22122201101200 is an apocalyptic number.

2122201101200 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 2122201101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686421837760).

2122201101200 is an abundant number, since it is smaller than the sum of its proper divisors (3250642574320).

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

2122201101200 is a wasteful number, since it uses less digits than its factorization.

2122201101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307465 (or 307454 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122201101200 its reverse (21011022212), we get a palindrome (2143212123412).

The spelling of 2122201101200 in words is "two trillion, one hundred twenty-two billion, two hundred one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 911 950 1520 1822 1900 3644 3800 4555 7288 7600 9110 14576 17309 18220 22775 34618 36440 45550 69236 72880 86545 91100 138472 173090 182200 276944 306517 346180 364400 432725 613034 692360 865450 1226068 1384720 1532585 1730900 2452136 3065170 3461800 4904272 5823823 6130340 6923600 7662925 11647646 12260680 15325850 23295292 24521360 29119115 30651700 46590584 58238230 61303400 93181168 116476460 122606800 145595575 232952920 279236987 291191150 465905840 558473974 582382300 1116947948 1164764600 1396184935 2233895896 2329529200 2792369870 4467791792 5305502753 5584739740 6980924675 10611005506 11169479480 13961849350 21222011012 22338958960 26527513765 27923698700 42444022024 53055027530 55847397400 84888044048 106110055060 111694794800 132637568825 212220110120 265275137650 424440220240 530550275300 1061100550600 2122201101200