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123415401012 = 223414719127943
BaseRepresentation
bin111001011110000100…
…0011001001000110100
3102210120000211221220020
41302330020121020310
54010223320313022
6132410220205140
711626230412521
oct1627410311064
9383500757806
10123415401012
114838185a492
121bb036997b0
13b83a973207
145d8aba2148
153324c5135c
hex1cbc219234

123415401012 has 96 divisors (see below), whose sum is σ = 302857519104. Its totient is φ = 39074092800.

The previous prime is 123415400981. The next prime is 123415401019. The reversal of 123415401012 is 210104514321.

It is a super-2 number, since 2×1234154010122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123415401019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4402713 + ... + 4430655.

It is an arithmetic number, because the mean of its divisors is an integer number (3154765824).

Almost surely, 2123415401012 is an apocalyptic number.

123415401012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123415401012 is an abundant number, since it is smaller than the sum of its proper divisors (179442118092).

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

123415401012 is a wasteful number, since it uses less digits than its factorization.

123415401012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28229 (or 28227 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 123415401012 its reverse (210104514321), we get a palindrome (333519915333).

The spelling of 123415401012 in words is "one hundred twenty-three billion, four hundred fifteen million, four hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 41 47 82 94 123 141 164 188 191 246 282 382 492 564 573 764 1146 1927 2292 3854 5781 7708 7831 8977 11562 15662 17954 23124 23493 26931 27943 31324 35908 46986 53862 55886 83829 93972 107724 111772 167658 335316 368057 736114 1104171 1145663 1313321 1472228 2208342 2291326 2626642 3436989 3939963 4416684 4582652 5253284 5337113 6873978 7879926 10674226 13747956 15759852 16011339 21348452 32022678 53846161 64045356 107692322 161538483 215384644 218821633 250844311 323076966 437643266 501688622 646153932 656464899 752532933 875286532 1003377244 1312929798 1505065866 2625859596 3010131732 10284616751 20569233502 30853850253 41138467004 61707700506 123415401012