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122312303120 = 24571712847931
BaseRepresentation
bin111000111101001100…
…0011010001000010000
3102200201011011210001202
41301322120122020100
54000443422144440
6132104533050332
711560004264630
oct1617230321020
9380634153052
10122312303120
1147966119737
121b8561869a8
13b6c3279477
145cc44986c0
1532acea7615
hex1c7a61a210

122312303120 has 80 divisors (see below), whose sum is σ = 344119010688. Its totient is φ = 39468840960.

The previous prime is 122312303119. The next prime is 122312303147. The reversal of 122312303120 is 21303213221.

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 = 122312303092 and 122312303101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414446 + ... + 6433485.

Almost surely, 2122312303120 is an apocalyptic number.

122312303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312303120 is an abundant number, since it is smaller than the sum of its proper divisors (221806707568).

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

122312303120 is a wasteful number, since it uses less digits than its factorization.

122312303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12847968 (or 12847962 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122312303120 its reverse (21303213221), we get a palindrome (143615516341).

The spelling of 122312303120 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 12847931 25695862 51391724 64239655 89935517 102783448 128479310 179871034 205566896 218414827 256958620 359742068 436829654 449677585 513917240 719484136 873659308 899355170 1027834480 1092074135 1438968272 1528903789 1747318616 1798710340 2184148270 3057807578 3494637232 3597420680 4368296540 6115615156 7194841360 7644518945 8736593080 12231230312 15289037890 17473186160 24462460624 30578075780 61156151560 122312303120