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122112003120 = 2435508800013
BaseRepresentation
bin111000110111001110…
…0010100110000110000
3102200012012021111010020
41301232130110300300
54000041133044440
6132033020003440
711552022620622
oct1615634246060
9380165244106
10122112003120
1147873051348
121b7bb090580
13b690918763
145ca5a38c12
15329a5de3d0
hex1c6e714c30

122112003120 has 40 divisors (see below), whose sum is σ = 378547210416. Its totient is φ = 32563200768.

The previous prime is 122112003107. The next prime is 122112003151. The reversal of 122112003120 is 21300211221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1221120031202 (a number of 23 digits) contains 22 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 122112003120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254399767 + ... + 254400246.

Almost surely, 2122112003120 is an apocalyptic number.

122112003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112003120 is an abundant number, since it is smaller than the sum of its proper divisors (256435207296).

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

122112003120 is a wasteful number, since it uses less digits than its factorization.

122112003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508800029 (or 508800023 counting only the distinct ones).

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

Adding to 122112003120 its reverse (21300211221), we get a palindrome (143412214341).

The spelling of 122112003120 in words is "one hundred twenty-two billion, one hundred twelve million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 508800013 1017600026 1526400039 2035200052 2544000065 3052800078 4070400104 5088000130 6105600156 7632000195 8140800208 10176000260 12211200312 15264000390 20352000520 24422400624 30528000780 40704001040 61056001560 122112003120