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122013303012 = 22325377363029
BaseRepresentation
bin111000110100010001…
…1110100000011100100
3102122221022120000000200
41301220203310003210
53444340401144022
6132015132310500
711546413651326
oct1615043640344
9378838500020
10122013303012
1147822368507
121b792012430
13b67633b823
145c968a5616
153291ae4bac
hex1c688f40e4

122013303012 has 36 divisors (see below), whose sum is σ = 308433145020. Its totient is φ = 40669699392.

The previous prime is 122013302993. The next prime is 122013303017. The reversal of 122013303012 is 210303310221.

122013303012 is a `hidden beast` number, since 12 + 20 + 1 + 330 + 301 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104816652516 + 17196650496 = 323754^2 + 131136^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1220133030122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122013303017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1904314 + ... + 1967342.

Almost surely, 2122013303012 is an apocalyptic number.

122013303012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122013303012 is an abundant number, since it is smaller than the sum of its proper divisors (186419842008).

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

122013303012 is a wasteful number, since it uses less digits than its factorization.

122013303012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116812 (or 116807 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122013303012 its reverse (210303310221), we get a palindrome (332316613233).

The spelling of 122013303012 in words is "one hundred twenty-two billion, thirteen million, three hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53773 63029 107546 126058 161319 189087 215092 252116 322638 378174 483957 567261 645276 756348 967914 1134522 1935828 2269044 3389258417 6778516834 10167775251 13557033668 20335550502 30503325753 40671101004 61006651506 122013303012