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122231231320 = 23511709391817
BaseRepresentation
bin111000111010110001…
…1001001001101011000
3102200111111121220110111
41301311203021031120
54000312143400240
6132052515254104
711555001215662
oct1616543111530
9380444556414
10122231231320
1147924386250
121b832baa334
13b6ac5322a3
145cb77d3532
1532a5ce11ea
hex1c758c9358

122231231320 has 64 divisors (see below), whose sum is σ = 300446042400. Its totient is φ = 44384916480.

The previous prime is 122231231279. The next prime is 122231231323. The reversal of 122231231320 is 23132132221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122231231291 and 122231231300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231231323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116052 + ... + 507868.

Almost surely, 2122231231320 is an apocalyptic number.

122231231320 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 122231231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150223021200).

122231231320 is an abundant number, since it is smaller than the sum of its proper divisors (178214811080).

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

122231231320 is a wasteful number, since it uses less digits than its factorization.

122231231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392548 (or 392544 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122231231320 its reverse (23132132221), we get a palindrome (145363363541).

Subtracting from 122231231320 its reverse (23132132221), we obtain a palindrome (99099099099).

The spelling of 122231231320 in words is "one hundred twenty-two billion, two hundred thirty-one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 709 1418 2836 3545 5672 7090 7799 14180 15598 28360 31196 38995 62392 77990 155980 311960 391817 783634 1567268 1959085 3134536 3918170 4309987 7836340 8619974 15672680 17239948 21549935 34479896 43099870 86199740 172399480 277798253 555596506 1111193012 1388991265 2222386024 2777982530 3055780783 5555965060 6111561566 11111930120 12223123132 15278903915 24446246264 30557807830 61115615660 122231231320