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12011211121120 = 255148123506809
BaseRepresentation
bin1010111011001001001111…
…1110001110000111100000
31120112021000221210001202121
42232302103332032013200
53033242430021333440
641313512455154024
72346532002661561
oct256622376160740
946467027701677
1012011211121120
113910a20601062
12141ba2a375914
13691863296473
142d74ba928168
1515c68c2b434a
hexaec93f8e1e0

12011211121120 has 48 divisors (see below), whose sum is σ = 28376733838320. Its totient is φ = 4804442532864.

The previous prime is 12011211121111. The next prime is 12011211121123. The reversal of 12011211121120 is 2112111211021.

It is a super-2 number, since 2×120112111211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12011211121094 and 12011211121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011211121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23446276 + ... + 23953084.

It is an arithmetic number, because the mean of its divisors is an integer number (591181954965).

Almost surely, 212011211121120 is an apocalyptic number.

12011211121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011211121120 is an abundant number, since it is smaller than the sum of its proper divisors (16365522717200).

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

12011211121120 is a wasteful number, since it uses less digits than its factorization.

12011211121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654947 (or 654939 counting only the distinct ones).

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

Adding to 12011211121120 its reverse (2112111211021), we get a palindrome (14123322332141).

The spelling of 12011211121120 in words is "twelve trillion, eleven billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 148123 296246 506809 592492 740615 1013618 1184984 1481230 2027236 2369968 2534045 2962460 4054472 4739936 5068090 5924920 8108944 10136180 11849840 16217888 20272360 23699680 40544720 81089440 75070069507 150140139014 300280278028 375350347535 600560556056 750700695070 1201121112112 1501401390140 2402242224224 3002802780280 6005605560560 12011211121120