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123031221013120 = 2757101271904219
BaseRepresentation
bin11011111110010101110000…
…001110011000101010000000
3121010121200002022220002212211
4123332111300032120222000
5112111220420034404440
61113355432423031504
734625466230524150
oct3376256016305200
9533550068802784
10123031221013120
113622427a932172
1211970336b9b594
135385a43292724
142254a58610760
15e354cecaeeea
hex6fe570398a80

123031221013120 has 128 divisors (see below), whose sum is σ = 339466980585600. Its totient is φ = 41764487884800.

The previous prime is 123031221013111. The next prime is 123031221013121. The reversal of 123031221013120 is 21310122130321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 123031221013091 and 123031221013100.

It is not an unprimeable number, because it can be changed into a prime (123031221013121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135499630 + ... + 136404589.

It is an arithmetic number, because the mean of its divisors is an integer number (2652085785825).

Almost surely, 2123031221013120 is an apocalyptic number.

123031221013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123031221013120 is an abundant number, since it is smaller than the sum of its proper divisors (216435759572480).

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

123031221013120 is a wasteful number, since it uses less digits than its factorization.

123031221013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271904346 (or 271904334 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 123031221013120 its reverse (21310122130321), we get a palindrome (144341343143441).

The spelling of 123031221013120 in words is "one hundred twenty-three trillion, thirty-one billion, two hundred twenty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 128 140 160 202 224 280 320 404 448 505 560 640 707 808 896 1010 1120 1414 1616 2020 2240 2828 3232 3535 4040 4480 5656 6464 7070 8080 11312 12928 14140 16160 22624 28280 32320 45248 56560 64640 90496 113120 226240 452480 271904219 543808438 1087616876 1359521095 1903329533 2175233752 2719042190 3806659066 4350467504 5438084380 7613318132 8700935008 9516647665 10876168760 15226636264 17401870016 19033295330 21752337520 27462326119 30453272528 34803740032 38066590660 43504675040 54924652238 60906545056 76133181320 87009350080 109849304476 121813090112 137311630595 152266362640 174018700160 192236282833 219698608952 243626180224 274623261190 304532725280 384472565666 439397217904 549246522380 609065450560 768945131332 878794435808 961181414165 1098493044760 1218130901120 1537890262664 1757588871616 1922362828330 2196986089520 3075780525328 3515177743232 3844725656660 4393972179040 6151561050656 7689451313320 8787944358080 12303122101312 15378902626640 17575888716160 24606244202624 30757805253280 61515610506560 123031221013120