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12011222111000 = 235377012447773
BaseRepresentation
bin1010111011001001010010…
…1000001001001100011000
31120112021001201110102001012
42232302110220021030120
53033242440330023000
641313513530513052
72346532165253210
oct256622450111430
946467051412035
1012011222111000
113910a26827a02
12141ba31b95788
13691865643758
142d74bc189240
1515c68d235735
hexaec94a09318

12011222111000 has 128 divisors (see below), whose sum is σ = 32167275154560. Its totient is φ = 4112256960000.

The previous prime is 12011222110967. The next prime is 12011222111003. The reversal of 12011222111000 is 11122211021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011222111003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3683114 + ... + 6130886.

It is an arithmetic number, because the mean of its divisors is an integer number (251306837145).

Almost surely, 212011222111000 is an apocalyptic number.

12011222111000 is a gapful number since it is divisible by the number (10) 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 12011222111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16083637577280).

12011222111000 is an abundant number, since it is smaller than the sum of its proper divisors (20156053043560).

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

12011222111000 is a wasteful number, since it uses less digits than its factorization.

12011222111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448502 (or 2448488 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12011222111000 its reverse (11122211021), we get a palindrome (12022344322021).

The spelling of 12011222111000 in words is "twelve trillion, eleven billion, two hundred twenty-two million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 701 875 1000 1400 1402 1750 2804 3500 3505 4907 5608 7000 7010 9814 14020 17525 19628 24535 28040 35050 39256 49070 70100 87625 98140 122675 140200 175250 196280 245350 350500 490700 613375 701000 981400 1226750 2447773 2453500 4895546 4907000 9791092 12238865 17134411 19582184 24477730 34268822 48955460 61194325 68537644 85672055 97910920 122388650 137075288 171344110 244777300 305971625 342688220 428360275 489554600 611943250 685376440 856720550 1223886500 1713441100 1715888873 2141801375 2447773000 3426882200 3431777746 4283602750 6863555492 8567205500 8579444365 12011222111 13727110984 17134411000 17158888730 24022444222 34317777460 42897221825 48044888444 60056110555 68635554920 85794443650 96089776888 120112221110 171588887300 214486109125 240224442220 300280552775 343177774600 428972218250 480448884440 600561105550 857944436500 1201122211100 1501402763875 1715888873000 2402244422200 3002805527750 6005611055500 12011222111000