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122110123020 = 223519631169753
BaseRepresentation
bin111000110111001010…
…1001001110000001100
3102200012001201222002220
41301232111021300030
54000040142414040
6132032511415340
711552000630364
oct1615625116014
9380161658086
10122110123020
1147871a87846
121b7ba524550
13b69040aa82
145ca56a99a4
15329a36c2d0
hex1c6e549c0c

122110123020 has 96 divisors (see below), whose sum is σ = 360476014080. Its totient is φ = 30799802880.

The previous prime is 122110122989. The next prime is 122110123027. The reversal of 122110123020 is 20321011221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122110123027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 634464 + ... + 804216.

It is an arithmetic number, because the mean of its divisors is an integer number (3754958480).

Almost surely, 2122110123020 is an apocalyptic number.

122110123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122110123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180238007040).

122110123020 is an abundant number, since it is smaller than the sum of its proper divisors (238365891060).

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

122110123020 is a wasteful number, since it uses less digits than its factorization.

122110123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170415 (or 170413 counting only the distinct ones).

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

Adding to 122110123020 its reverse (20321011221), we get a palindrome (142431134241).

The spelling of 122110123020 in words is "one hundred twenty-two billion, one hundred ten million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 631 1140 1262 1893 2524 3155 3786 6310 7572 9465 11989 12620 18930 23978 35967 37860 47956 59945 71934 119890 143868 169753 179835 239780 339506 359670 509259 679012 719340 848765 1018518 1697530 2037036 2546295 3225307 3395060 5092590 6450614 9675921 10185180 12901228 16126535 19351842 32253070 38703684 48379605 64506140 96759210 107114143 193518420 214228286 321342429 428456572 535570715 642684858 1071141430 1285369716 1606712145 2035168717 2142282860 3213424290 4070337434 6105506151 6426848580 8140674868 10175843585 12211012302 20351687170 24422024604 30527530755 40703374340 61055061510 122110123020