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122330311320 = 23357894333779
BaseRepresentation
bin111000111101101110…
…1000110101010011000
3102200202102001200200010
41301323131012222120
54001013024430240
6132110415041520
711560313326650
oct1617335065230
9380672050603
10122330311320
11479752a9548
121b8602102a0
13b6c6c130c9
145cc6a25360
1532ae863280
hex1c7b746a98

122330311320 has 256 divisors, whose sum is σ = 425222784000. Its totient is φ = 27575894016.

The previous prime is 122330311319. The next prime is 122330311321. The reversal of 122330311320 is 23113033221.

It is an interprime number because it is at equal distance from previous prime (122330311319) and next prime (122330311321).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330311321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32369191 + ... + 32372969.

It is an arithmetic number, because the mean of its divisors is an integer number (1661026500).

Almost surely, 2122330311320 is an apocalyptic number.

122330311320 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 122330311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212611392000).

122330311320 is an abundant number, since it is smaller than the sum of its proper divisors (302892472680).

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

122330311320 is a wasteful number, since it uses less digits than its factorization.

122330311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122330311320 its reverse (23113033221), we get a palindrome (145443344541).

The spelling of 122330311320 in words is "one hundred twenty-two billion, three hundred thirty million, three hundred eleven thousand, three hundred twenty".