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122332111313120 = 2556831119437329
BaseRepresentation
bin11011110100001010101010…
…000010100001100011100000
3121001010211120011122122010222
4123310022222002201203200
5112013242130444004440
61112102332431542212
734524126521236352
oct3364125202414340
9531124504578128
10122332111313120
1135a848367100a5
121187894868a968
135334b3a404027
14222cc9765d0d2
15e22213e6a2b5
hex6f42aa0a18e0

122332111313120 has 48 divisors (see below), whose sum is σ = 289432760546160. Its totient is φ = 48861200492544.

The previous prime is 122332111313089. The next prime is 122332111313129. The reversal of 122332111313120 is 21313111233221.

It is a self number, because there is not a number n which added to its sum of digits gives 122332111313120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122332111313129) 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 7 ways as a sum of consecutive naturals, for example, 559609385 + ... + 559827944.

It is an arithmetic number, because the mean of its divisors is an integer number (6029849178045).

Almost surely, 2122332111313120 is an apocalyptic number.

122332111313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122332111313120 is an abundant number, since it is smaller than the sum of its proper divisors (167100649233040).

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

122332111313120 is a wasteful number, since it uses less digits than its factorization.

122332111313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119438027 (or 1119438019 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 122332111313120 its reverse (21313111233221), we get a palindrome (143645222546341).

The spelling of 122332111313120 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, one hundred eleven million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 683 1366 2732 3415 5464 6830 10928 13660 21856 27320 54640 109280 1119437329 2238874658 4477749316 5597186645 8955498632 11194373290 17910997264 22388746580 35821994528 44777493160 89554986320 179109972640 764575695707 1529151391414 3058302782828 3822878478535 6116605565656 7645756957070 12233211131312 15291513914140 24466422262624 30583027828280 61166055656560 122332111313120