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122112000024 = 23374117728223
BaseRepresentation
bin111000110111001110…
…0010100000000011000
3102200012012021022212120
41301232130110000120
54000041133000044
6132033015541240
711552022605610
oct1615634240030
9380165238776
10122112000024
1147873049a93
121b7bb08a820
13b690917221
145ca5a37a40
15329a5dd519
hex1c6e714018

122112000024 has 64 divisors (see below), whose sum is σ = 357400995840. Its totient is φ = 34038186240.

The previous prime is 122111999987. The next prime is 122112000029. The reversal of 122112000024 is 420000211221.

It is a super-2 number, since 2×1221120000242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111999967 and 122112000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112000029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8857224 + ... + 8870999.

It is an arithmetic number, because the mean of its divisors is an integer number (5584390560).

Almost surely, 2122112000024 is an apocalyptic number.

122112000024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122112000024 is an abundant number, since it is smaller than the sum of its proper divisors (235288995816).

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

122112000024 is a wasteful number, since it uses less digits than its factorization.

122112000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17728280 (or 17728276 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122112000024 its reverse (420000211221), we get a palindrome (542112211245).

The spelling of 122112000024 in words is "one hundred twenty-two billion, one hundred twelve million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888 17728223 35456446 53184669 70912892 106369338 124097561 141825784 212738676 248195122 372292683 425477352 496390244 726857143 744585366 992780488 1453714286 1489170732 2180571429 2907428572 2978341464 4361142858 5088000001 5814857144 8722285716 10176000002 15264000003 17444571432 20352000004 30528000006 40704000008 61056000012 122112000024