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1320102000120 = 233526341828327
BaseRepresentation
bin10011001101011100001…
…101011111010111111000
311200012102011210212100010
4103031130031133113320
5133112032103000440
62450240235141520
7164242233600621
oct23153415372770
94605364725303
101320102000120
11469941189432
12193a175a48a0
139763c966077
1447c71222a48
1524513add580
hex1335c35f5f8

1320102000120 has 64 divisors (see below), whose sum is σ = 3975364293120. Its totient is φ = 350688685184.

The previous prime is 1320102000053. The next prime is 1320102000157. The reversal of 1320102000120 is 210002010231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1320102000096 and 1320102000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20882604 + ... + 20945723.

It is an arithmetic number, because the mean of its divisors is an integer number (62115067080).

Almost surely, 21320102000120 is an apocalyptic number.

1320102000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320102000120 is an abundant number, since it is smaller than the sum of its proper divisors (2655262293000).

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

1320102000120 is a wasteful number, since it uses less digits than its factorization.

1320102000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41828604 (or 41828600 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1320102000120 its reverse (210002010231), we get a palindrome (1530104010351).

The spelling of 1320102000120 in words is "one trillion, three hundred twenty billion, one hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3945 5260 6312 7890 10520 15780 31560 41828327 83656654 125484981 167313308 209141635 250969962 334626616 418283270 501939924 627424905 836566540 1003879848 1254849810 1673133080 2509699620 5019399240 11000850001 22001700002 33002550003 44003400004 55004250005 66005100006 88006800008 110008500010 132010200012 165012750015 220017000020 264020400024 330025500030 440034000040 660051000060 1320102000120