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2122012002200 = 2352231307352951
BaseRepresentation
bin11110111000010001110…
…001011000011110011000
321111212021122221202121112
4132320101301120132120
5234231340033032300
64302501105355452
7306211302261056
oct36702161303630
97455248852545
102122012002200
11748a384aaa42
122a3315638b88
13125149538a8c
14749c50d71d6
153a2e9916e35
hex1ee11c58798

2122012002200 has 96 divisors (see below), whose sum is σ = 5152139170560. Its totient is φ = 811276752000.

The previous prime is 2122012002193. The next prime is 2122012002287. The reversal of 2122012002200 is 22002102212.

It is a congruent number.

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, 5835725 + ... + 6188675.

It is an arithmetic number, because the mean of its divisors is an integer number (53668116360).

Almost surely, 22122012002200 is an apocalyptic number.

2122012002200 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 2122012002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576069585280).

2122012002200 is an abundant number, since it is smaller than the sum of its proper divisors (3030127168360).

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

2122012002200 is a wasteful number, since it uses less digits than its factorization.

2122012002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354297 (or 354288 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2122012002200 its reverse (22002102212), we get a palindrome (2144014104412).

The spelling of 2122012002200 in words is "two trillion, one hundred twenty-two billion, twelve million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1307 2300 2614 4600 5228 6535 10456 13070 26140 30061 32675 52280 60122 65350 120244 130700 150305 240488 261400 300610 352951 601220 705902 751525 1202440 1411804 1503050 1764755 2823608 3006100 3529510 6012200 7059020 8117873 8823775 14118040 16235746 17647550 32471492 35295100 40589365 64942984 70590200 81178730 162357460 202946825 324714920 405893650 461306957 811787300 922613914 1623574600 1845227828 2306534785 3690455656 4613069570 9226139140 10610060011 11532673925 18452278280 21220120022 23065347850 42440240044 46130695700 53050300055 84880480088 92261391400 106100600110 212201200220 265251500275 424402400440 530503000550 1061006001100 2122012002200