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122030211233200 = 245217101177679399
BaseRepresentation
bin11011101111110001011111…
…011001000111010110110000
3121000001222022020101112202111
4123233301133121013112300
5111443320333033430300
61111311523301255104
734463251252012264
oct3357613731072660
9530058266345674
10122030211233200
11359787a3a13716
121182a332a04494
135312526a4439a
14221c4180320a4
15e19444a849ba
hex6efc5f6475b0

122030211233200 has 120 divisors (see below), whose sum is σ = 313496822642400. Its totient is φ = 45485925888000.

The previous prime is 122030211233197. The next prime is 122030211233201. The reversal of 122030211233200 is 2332112030221.

122030211233200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1220302112332002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122030211233201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88152900 + ... + 89526499.

It is an arithmetic number, because the mean of its divisors is an integer number (2612473522020).

Almost surely, 2122030211233200 is an apocalyptic number.

122030211233200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122030211233200 is an abundant number, since it is smaller than the sum of its proper divisors (191466611409200).

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

122030211233200 is a wasteful number, since it uses less digits than its factorization.

122030211233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177679535 (or 177679524 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122030211233200 its reverse (2332112030221), we get a palindrome (124362323263421).

The spelling of 122030211233200 in words is "one hundred twenty-two trillion, thirty billion, two hundred eleven million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 101 136 170 200 202 272 340 400 404 425 505 680 808 850 1010 1360 1616 1700 1717 2020 2525 3400 3434 4040 5050 6800 6868 8080 8585 10100 13736 17170 20200 27472 34340 40400 42925 68680 85850 137360 171700 343400 686800 177679399 355358798 710717596 888396995 1421435192 1776793990 2842870384 3020549783 3553587980 4441984975 6041099566 7107175960 8883969950 12082199132 14214351920 15102748915 17767939900 17945619299 24164398264 30205497830 35535879800 35891238598 48328796528 60410995660 71071759600 71782477196 75513744575 89728096495 120821991320 143564954392 151027489150 179456192990 241643982640 287129908784 302054978300 305075528083 358912385980 448640482475 604109956600 610151056166 717824771960 897280964950 1208219913200 1220302112332 1435649543920 1525377640415 1794561929900 2440604224664 3050755280830 3589123859800 4881208449328 6101510561660 7178247719600 7626888202075 12203021123320 15253776404150 24406042246640 30507552808300 61015105616600 122030211233200