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123020121120 = 25351319714763
BaseRepresentation
bin111001010010010010…
…0100001010000100000
3102202112111001122211020
41302210210201100200
54003421122333440
6132303100045440
711613360530151
oct1624444412040
9382474048736
10123020121120
1148199718896
121ba13233880
13b7a6ac51a0
145d504a9928
1533001c13d0
hex1ca4921420

123020121120 has 96 divisors (see below), whose sum is σ = 417322124352. Its totient is φ = 30281874432.

The previous prime is 123020121079. The next prime is 123020121127. The reversal of 123020121120 is 21121020321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123020121120.

It is not an unprimeable number, because it can be changed into a prime (123020121127) 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, 9851142 + ... + 9863621.

It is an arithmetic number, because the mean of its divisors is an integer number (4347105462).

Almost surely, 2123020121120 is an apocalyptic number.

123020121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123020121120 is an abundant number, since it is smaller than the sum of its proper divisors (294302003232).

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

123020121120 is a wasteful number, since it uses less digits than its factorization.

123020121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19714794 (or 19714786 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 123020121120 its reverse (21121020321), we get a palindrome (144141141441).

The spelling of 123020121120 in words is "one hundred twenty-three billion, twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 19714763 39429526 59144289 78859052 98573815 118288578 157718104 197147630 236577156 256291919 295721445 315436208 394295260 473154312 512583838 591442890 630872416 768875757 788590520 946308624 1025167676 1182885780 1281459595 1537751514 1577181040 1892617248 2050335352 2365771560 2562919190 3075503028 3154362080 3844378785 4100670704 4731543120 5125838380 6151006056 7688757570 8201341408 9463086240 10251676760 12302012112 15377515140 20503353520 24604024224 30755030280 41006707040 61510060560 123020121120