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132122123120 = 24513294380707
BaseRepresentation
bin111101100001100010…
…1111001101101110000
3110122000211002021021102
41323003011321231300
54131041230414440
6140410203343532
712355052342141
oct1730305715560
9418024067242
10132122123120
115103a548699
1221733521ba8
13c5c773a2a0
146575273ac8
1536842eab15
hex1ec3179b70

132122123120 has 80 divisors (see below), whose sum is σ = 342220908960. Its totient is φ = 47101350912.

The previous prime is 132122123113. The next prime is 132122123123. The reversal of 132122123120 is 21321221231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132122123092 and 132122123101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122123123) 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, 2160194 + ... + 2220513.

It is an arithmetic number, because the mean of its divisors is an integer number (4277761362).

Almost surely, 2132122123120 is an apocalyptic number.

132122123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122123120 is an abundant number, since it is smaller than the sum of its proper divisors (210098785840).

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

132122123120 is a wasteful number, since it uses less digits than its factorization.

132122123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380762 (or 4380756 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132122123120 its reverse (21321221231), we get a palindrome (153443344351).

The spelling of 132122123120 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 4380707 8761414 17522828 21903535 35045656 43807070 56949191 70091312 87614140 113898382 127040503 175228280 227796764 254081006 284745955 350456560 455593528 508162012 569491910 635202515 911187056 1016324024 1138983820 1270405030 1651526539 2032648048 2277967640 2540810060 3303053078 4555935280 5081620120 6606106156 8257632695 10163240240 13212212312 16515265390 26424424624 33030530780 66061061560 132122123120