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122322200020 = 225311737691483
BaseRepresentation
bin111000111101011111…
…0001010010111010100
3102200201211210121001121
41301322332022113110
54001003440400040
6132105525133324
711560154354566
oct1617276122724
9380654717047
10122322200020
1147970769399
121b85955a244
13b6c5333117
145cc5913336
1532adcaec4a
hex1c7af8a5d4

122322200020 has 96 divisors (see below), whose sum is σ = 267222574080. Its totient is φ = 46983905280.

The previous prime is 122322200009. The next prime is 122322200023. The reversal of 122322200020 is 20002223221.

It is a junction number, because it is equal to n+sod(n) for n = 122322199967 and 122322200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122322200023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82482199 + ... + 82483681.

It is an arithmetic number, because the mean of its divisors is an integer number (2783568480).

Almost surely, 2122322200020 is an apocalyptic number.

122322200020 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 122322200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133611287040).

122322200020 is an abundant number, since it is smaller than the sum of its proper divisors (144900374060).

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

122322200020 is a wasteful number, since it uses less digits than its factorization.

122322200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 122322200020 its reverse (20002223221), we get a palindrome (142324423241).

The spelling of 122322200020 in words is "one hundred twenty-two billion, three hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 173 310 346 620 692 769 865 1483 1538 1730 2966 3076 3460 3845 5363 5932 7415 7690 10726 14830 15380 21452 23839 26815 29660 45973 47678 53630 91946 95356 107260 119195 133037 183892 229865 238390 256559 266074 459730 476780 513118 532148 665185 919460 1026236 1140427 1282795 1330370 2280854 2565590 2660740 4124147 4561708 5131180 5702135 7953329 8248294 11404270 15906658 16496588 20620735 22808540 31813316 35353237 39766645 41241470 70706474 79533290 82482940 141412948 159066580 176766185 197293871 353532370 394587742 707064740 789175484 986469355 1972938710 3945877420 6116110001 12232220002 24464440004 30580550005 61161100010 122322200020