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123424400120 = 23571410731247
BaseRepresentation
bin111001011110010101…
…0101110001011111000
3102210120122210011100112
41302330222232023320
54010233121300440
6132411141123452
711626400043140
oct1627452561370
9383518704315
10123424400120
114838694666a
121bb066b9588
13b83c7a4328
145d8c065920
15332592c965
hex1cbcaae2f8

123424400120 has 64 divisors (see below), whose sum is σ = 317409684480. Its totient is φ = 42312583296.

The previous prime is 123424400101. The next prime is 123424400131. The reversal of 123424400120 is 21004424321.

It is a congruent number.

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, 3934337 + ... + 3965583.

It is an arithmetic number, because the mean of its divisors is an integer number (4959526320).

Almost surely, 2123424400120 is an apocalyptic number.

123424400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123424400120 is an abundant number, since it is smaller than the sum of its proper divisors (193985284360).

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

123424400120 is a wasteful number, since it uses less digits than its factorization.

123424400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45372 (or 45368 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 123424400120 its reverse (21004424321), we get a palindrome (144428824441).

The spelling of 123424400120 in words is "one hundred twenty-three billion, four hundred twenty-four million, four hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 14107 28214 31247 56428 62494 70535 98749 112856 124988 141070 156235 197498 218729 249976 282140 312470 394996 437458 493745 564280 624940 789992 874916 987490 1093645 1249880 1749832 1974980 2187290 3949960 4374580 8749160 440801429 881602858 1763205716 2204007145 3085610003 3526411432 4408014290 6171220006 8816028580 12342440012 15428050015 17632057160 24684880024 30856100030 61712200060 123424400120