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123412607104 = 271721560233
BaseRepresentation
bin111001011101111110…
…1101111000010000000
3102210112211121000101011
41302323331233002000
54010222111411404
6132410040250304
711626164565153
oct1627375570200
9383484530334
10123412607104
1148380221376
121bb02770994
13b83a205607
145d8a675c9a
15332489d604
hex1cbbf6f080

123412607104 has 32 divisors (see below), whose sum is σ = 246004351740. Its totient is φ = 61670338560.

The previous prime is 123412607093. The next prime is 123412607111. The reversal of 123412607104 is 401706214321.

It can be written as a sum of positive squares in 2 ways, for example, as 96999856704 + 26412750400 = 311448^2 + 162520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59829 + ... + 500404.

Almost surely, 2123412607104 is an apocalyptic number.

It is an amenable number.

123412607104 is a deficient number, since it is larger than the sum of its proper divisors (122591744636).

123412607104 is an equidigital number, since it uses as much as digits as its factorization.

123412607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561968 (or 561956 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 123412607104 in words is "one hundred twenty-three billion, four hundred twelve million, six hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 1721 3442 6884 13768 27536 55072 110144 220288 560233 1120466 2240932 4481864 8963728 17927456 35854912 71709824 964160993 1928321986 3856643972 7713287944 15426575888 30853151776 61706303552 123412607104