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122101321032 = 233211315007537
BaseRepresentation
bin111000110110111001…
…1100100110101001000
3102200011110011210001100
41301231303210311020
54000030414233112
6132031555021400
711551533050535
oct1615563446510
9380143153040
10122101321032
1147868015779
121b7b759a860
13b68b6485b2
145ca4457d8c
1532996ce2dc
hex1c6dce4d48

122101321032 has 48 divisors (see below), whose sum is σ = 333617569740. Its totient is φ = 40340256768.

The previous prime is 122101320989. The next prime is 122101321037. The reversal of 122101321032 is 230123101221.

It can be written as a sum of positive squares in 2 ways, for example, as 111805971876 + 10295349156 = 334374^2 + 101466^2 .

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 = 122101320996 and 122101321014.

It is not an unprimeable number, because it can be changed into a prime (122101321037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7495633 + ... + 7511904.

Almost surely, 2122101321032 is an apocalyptic number.

122101321032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122101321032 is an abundant number, since it is smaller than the sum of its proper divisors (211516248708).

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

122101321032 is a wasteful number, since it uses less digits than its factorization.

122101321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007662 (or 15007655 counting only the distinct ones).

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

Adding to 122101321032 its reverse (230123101221), we get a palindrome (352224422253).

The spelling of 122101321032 in words is "one hundred twenty-two billion, one hundred one million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 15007537 30015074 45022611 60030148 90045222 120060296 135067833 180090444 270135666 360180888 540271332 1080542664 1695851681 3391703362 5087555043 6783406724 10175110086 13566813448 15262665129 20350220172 30525330258 40700440344 61050660516 122101321032