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122140231020 = 22335226185613
BaseRepresentation
bin111000111000000100…
…0000000010101101100
3102200021011101121112000
41301300020000111230
54000120344343040
6132035505012300
711552514555663
oct1616010002554
9380234347460
10122140231020
1147887a81395
121b808624090
13b69671cc62
145ca96a5dda
15329cd18130
hex1c7020056c

122140231020 has 48 divisors (see below), whose sum is σ = 379991831520. Its totient is φ = 32570728128.

The previous prime is 122140230991. The next prime is 122140231061. The reversal of 122140231020 is 20132041221.

It is a happy number.

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 = 122140230984 and 122140231002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113092267 + ... + 113093346.

It is an arithmetic number, because the mean of its divisors is an integer number (7916496490).

Almost surely, 2122140231020 is an apocalyptic number.

122140231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122140231020 is an abundant number, since it is smaller than the sum of its proper divisors (257851600500).

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

122140231020 is a wasteful number, since it uses less digits than its factorization.

122140231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226185631 (or 226185623 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122140231020 its reverse (20132041221), we get a palindrome (142272272241).

The spelling of 122140231020 in words is "one hundred twenty-two billion, one hundred forty million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 226185613 452371226 678556839 904742452 1130928065 1357113678 2035670517 2261856130 2714227356 3392784195 4071341034 4523712260 6107011551 6785568390 8142682068 10178352585 12214023102 13571136780 20356705170 24428046204 30535057755 40713410340 61070115510 122140231020