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12101112012330 = 2335114074448489
BaseRepresentation
bin1011000000011000001001…
…1110111001111000101010
31120211212002022011112012000
42300012002132321320222
53041231034133343310
641423101335231430
72356163556644325
oct260060236717052
946755068145160
1012101112012330
11394606428a260
121435339b18576
1369a18c6c7793
142db9a85c77bc
1515eb9eab54c0
hexb01827b9e2a

12101112012330 has 64 divisors (see below), whose sum is σ = 35203234953600. Its totient is φ = 2933602911360.

The previous prime is 12101112012329. The next prime is 12101112012337. The reversal of 12101112012330 is 3321021110121.

12101112012330 is a `hidden beast` number, since 1 + 21 + 0 + 111 + 201 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12101112012337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037221275 + ... + 2037227214.

It is an arithmetic number, because the mean of its divisors is an integer number (550050546150).

Almost surely, 212101112012330 is an apocalyptic number.

12101112012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12101112012330 is an abundant number, since it is smaller than the sum of its proper divisors (23102122941270).

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

12101112012330 is a wasteful number, since it uses less digits than its factorization.

12101112012330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074448516 (or 4074448510 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12101112012330 its reverse (3321021110121), we get a palindrome (15422133122451).

The spelling of 12101112012330 in words is "twelve trillion, one hundred one billion, one hundred twelve million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4074448489 8148896978 12223345467 20372242445 24446690934 36670036401 40744484890 44818933379 61116727335 73340072802 89637866758 110010109203 122233454670 134456800137 183350182005 220020218406 224094666895 268913600274 366700364010 403370400411 448189333790 550050546015 672284000685 806740800822 1100101092030 1210111201233 1344568001370 2016852002055 2420222402466 4033704004110 6050556006165 12101112012330