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123321131120 = 24511140137649
BaseRepresentation
bin111001011011010000…
…0110010000001110000
3102210022110110112220202
41302312200302001300
54010030202143440
6132353011454332
711624004214265
oct1626640620160
9383273415822
10123321131120
1148333622090
121ba97bb73a8
13b824287905
145d7c46326c
15331b82e615
hex1cb6832070

123321131120 has 40 divisors (see below), whose sum is σ = 312787234800. Its totient is φ = 44844047360.

The previous prime is 123321131119. The next prime is 123321131149. The reversal of 123321131120 is 21131123321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 123321131092 and 123321131101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70067945 + ... + 70069704.

It is an arithmetic number, because the mean of its divisors is an integer number (7819680870).

Almost surely, 2123321131120 is an apocalyptic number.

123321131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123321131120 is an abundant number, since it is smaller than the sum of its proper divisors (189466103680).

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

123321131120 is a wasteful number, since it uses less digits than its factorization.

123321131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140137673 (or 140137667 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123321131120 its reverse (21131123321), we get a palindrome (144452254441).

The spelling of 123321131120 in words is "one hundred twenty-three billion, three hundred twenty-one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 140137649 280275298 560550596 700688245 1121101192 1401376490 1541514139 2242202384 2802752980 3083028278 5605505960 6166056556 7707570695 11211011920 12332113112 15415141390 24664226224 30830282780 61660565560 123321131120