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120011012103000 = 23353329912125999
BaseRepresentation
bin11011010010011000111101…
…101111101101101101011000
3120201220221101202222211101010
4123102120331233231231120
5111212230023044244000
61103124144200253520
734164336520415544
oct3322307557555530
9521827352884333
10120011012103000
113526a425719187
1211562b311712a0
1351c6cb3a01155
14218c7c77b0a24
15dd1b662d5d50
hex6d263dbedb58

120011012103000 has 128 divisors (see below), whose sum is σ = 374547888000000. Its totient is φ = 31993233123200.

The previous prime is 120011012102987. The next prime is 120011012103019. The reversal of 120011012103000 is 301210110021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3834001 + ... + 15959999.

It is an arithmetic number, because the mean of its divisors is an integer number (2926155375000).

Almost surely, 2120011012103000 is an apocalyptic number.

120011012103000 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 120011012103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187273944000000).

120011012103000 is an abundant number, since it is smaller than the sum of its proper divisors (254536875897000).

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

120011012103000 is a wasteful number, since it uses less digits than its factorization.

120011012103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12129322 (or 12129308 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 120011012103000 its reverse (301210110021), we get a palindrome (120312222213021).

The spelling of 120011012103000 in words is "one hundred twenty trillion, eleven billion, twelve million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3299 6598 9897 13196 16495 19794 26392 32990 39588 49485 65980 79176 82475 98970 131960 164950 197940 247425 329900 395880 412375 494850 659800 824750 989700 1237125 1649500 1979400 2474250 3299000 4948500 9897000 12125999 24251998 36377997 48503996 60629995 72755994 97007992 121259990 145511988 181889985 242519980 291023976 303149975 363779970 485039960 606299950 727559940 909449925 1212599900 1455119880 1515749875 1818899850 2425199800 3031499750 3637799700 4547249625 6062999500 7275599400 9094499250 12125999000 18188998500 36377997000 40003670701 80007341402 120011012103 160014682804 200018353505 240022024206 320029365608 400036707010 480044048412 600055060515 800073414020 960088096824 1000091767525 1200110121030 1600146828040 2000183535050 2400220242060 3000275302575 4000367070100 4800440484120 5000458837625 6000550605150 8000734140200 10000917675250 12001101210300 15001376512875 20001835350500 24002202420600 30002753025750 40003670701000 60005506051500 120011012103000