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1223112120030 = 23551393621139
BaseRepresentation
bin10001110011000111001…
…010011101011011011110
311022221001210020110100000
4101303013022131123132
5130014413200320110
62333520121315130
7154236600324123
oct21630712353336
94287053213300
101223112120030
1143179a9a5a39
12179069935aa6
138b453972188
14432adc8074a
1521c38c961c0
hex11cc729d6de

1223112120030 has 96 divisors (see below), whose sum is σ = 3321599299200. Its totient is φ = 323816644512.

The previous prime is 1223112119963. The next prime is 1223112120037. The reversal of 1223112120030 is 300212113221.

1223112120030 is a `hidden beast` number, since 122 + 311 + 2 + 1 + 200 + 30 = 666.

It is a super-2 number, since 2×12231121200302 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1223112119985 and 1223112120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223112120037) 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 47 ways as a sum of consecutive naturals, for example, 1472800 + ... + 2148339.

It is an arithmetic number, because the mean of its divisors is an integer number (34599992700).

Almost surely, 21223112120030 is an apocalyptic number.

1223112120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1223112120030 is an abundant number, since it is smaller than the sum of its proper divisors (2098487179170).

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

1223112120030 is a wasteful number, since it uses less digits than its factorization.

1223112120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621300 (or 3621288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1223112120030 its reverse (300212113221), we get a palindrome (1523324233251).

The spelling of 1223112120030 in words is "one trillion, two hundred twenty-three billion, one hundred twelve million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 139 162 243 270 278 405 417 486 695 810 834 1215 1251 1390 2085 2430 2502 3753 4170 6255 7506 11259 12510 18765 22518 33777 37530 56295 67554 112590 168885 337770 3621139 7242278 10863417 18105695 21726834 32590251 36211390 54317085 65180502 97770753 108634170 162951255 195541506 293312259 325902510 488853765 503338321 586624518 879936777 977707530 1006676642 1466561295 1510014963 1759873554 2516691605 2933122590 3020029926 4399683885 4530044889 5033383210 7550074815 8799367770 9060089778 13590134667 15100149630 22650224445 27180269334 40770404001 45300448890 67950673335 81540808002 122311212003 135901346670 203852020005 244622424006 407704040010 611556060015 1223112120030