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12020301120030 = 23571929103882993
BaseRepresentation
bin1010111011101011000111…
…0001110100001000011110
31120120010111110012212001220
42232322301301310020132
53033420034041320110
641322014453314210
72350303160462250
oct256726161641036
946503443185056
1012020301120030
113914865682855
121421746635966
13692681598048
142d7addc89cd0
1515ca2031c370
hexaeeb1c7421e

12020301120030 has 128 divisors (see below), whose sum is σ = 35901962726400. Its totient is φ = 2513137342464.

The previous prime is 12020301120017. The next prime is 12020301120031. The reversal of 12020301120030 is 3002110302021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 12020301119991 and 12020301120009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020301120031) 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 63 ways as a sum of consecutive naturals, for example, 51825787 + ... + 52057206.

It is an arithmetic number, because the mean of its divisors is an integer number (280484083800).

Almost surely, 212020301120030 is an apocalyptic number.

12020301120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12020301120030 is an abundant number, since it is smaller than the sum of its proper divisors (23881661606370).

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

12020301120030 is a wasteful number, since it uses less digits than its factorization.

12020301120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103883058.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12020301120030 its reverse (3002110302021), we get a palindrome (15022411422051).

The spelling of 12020301120030 in words is "twelve trillion, twenty billion, three hundred one million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 29 30 35 38 42 57 58 70 87 95 105 114 133 145 174 190 203 210 266 285 290 399 406 435 551 570 609 665 798 870 1015 1102 1218 1330 1653 1995 2030 2755 3045 3306 3857 3990 5510 6090 7714 8265 11571 16530 19285 23142 38570 57855 115710 103882993 207765986 311648979 519414965 623297958 727180951 1038829930 1454361902 1558244895 1973776867 2181542853 3012606797 3116489790 3635904755 3947553734 4363085706 5921330601 6025213594 7271809510 9037820391 9868884335 10907714265 11842661202 13816438069 15063033985 18075640782 19737768670 21088247579 21815428530 27632876138 29606653005 30126067970 41449314207 42176495158 45189101955 57239529143 59213306010 63264742737 69082190345 82898628414 90378203910 105441237895 114479058286 126529485474 138164380690 171718587429 207246571035 210882475790 286197645715 316323713685 343437174858 400676704001 414493142070 572395291430 632647427370 801353408002 858592937145 1202030112003 1717185874290 2003383520005 2404060224006 4006767040010 6010150560015 12020301120030