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1223100120120 = 233543330171807
BaseRepresentation
bin10001110011000110011…
…100101011110000111000
311022221000221122210112220
4101303012130223300320
5130014402112320440
62333515012204040
7154236363325014
oct21630634536070
94287027583486
101223100120120
1143179414a25a
12179065909620
138b451330238
14432ac439544
1521c37bc58d0
hex11cc672bc38

1223100120120 has 128 divisors (see below), whose sum is σ = 3755822653440. Its totient is φ = 318473971200.

The previous prime is 1223100120103. The next prime is 1223100120161. The reversal of 1223100120120 is 210210013221.

It is a super-3 number, since 3×12231001201203 (a number of 37 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1223100120120.

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, 16997257 + ... + 17069063.

It is an arithmetic number, because the mean of its divisors is an integer number (29342364480).

Almost surely, 21223100120120 is an apocalyptic number.

1223100120120 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 1223100120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877911326720).

1223100120120 is an abundant number, since it is smaller than the sum of its proper divisors (2532722533320).

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

1223100120120 is a wasteful number, since it uses less digits than its factorization.

1223100120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75165 (or 75161 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1223100120120 its reverse (210210013221), we get a palindrome (1433310133341).

The spelling of 1223100120120 in words is "one trillion, two hundred twenty-three billion, one hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 3301 5160 6602 9903 13204 16505 19806 26408 33010 39612 49515 66020 71807 79224 99030 132040 141943 143614 198060 215421 283886 287228 359035 396120 425829 430842 567772 574456 709715 718070 851658 861684 1077105 1135544 1419430 1436140 1703316 1723368 2129145 2154210 2838860 2872280 3087701 3406632 4258290 4308420 5677720 6175402 8516580 8616840 9263103 12350804 15438505 17033160 18526206 24701608 30877010 37052412 46315515 61754020 74104824 92631030 123508040 185262060 237034907 370524120 474069814 711104721 948139628 1185174535 1422209442 1896279256 2370349070 2844418884 3555523605 4740698140 5688837768 7111047210 9481396280 10192501001 14222094420 20385002002 28444188840 30577503003 40770004004 50962505005 61155006006 81540008008 101925010010 122310012012 152887515015 203850020020 244620024024 305775030030 407700040040 611550060060 1223100120120