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123113220231200 = 25527915329127079
BaseRepresentation
bin11011111111100010000111…
…110000100101000000100000
3121010220111201222212222111212
4123333202013300211000200
5112114041333334344300
61113501233234525252
734634431236422663
oct3377420760450040
9533814658788455
10123113220231200
11362560292a13a1
1211984200436828
1353906b0659a04
1422589d6abd6da
15e376cda39935
hex6ff887c25020

123113220231200 has 144 divisors (see below), whose sum is σ = 304376831136000. Its totient is φ = 48618375536640.

The previous prime is 123113220231187. The next prime is 123113220231203. The reversal of 123113220231200 is 2132022311321.

It is not an unprimeable number, because it can be changed into a prime (123113220231203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968729261 + ... + 968856339.

It is an arithmetic number, because the mean of its divisors is an integer number (2113727994000).

Almost surely, 2123113220231200 is an apocalyptic number.

123113220231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123113220231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152188415568000).

123113220231200 is an abundant number, since it is smaller than the sum of its proper divisors (181263610904800).

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

123113220231200 is a wasteful number, since it uses less digits than its factorization.

123113220231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142507 (or 142494 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 123113220231200 its reverse (2132022311321), we get a palindrome (125245242542521).

The spelling of 123113220231200 in words is "one hundred twenty-three trillion, one hundred thirteen billion, two hundred twenty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 158 160 200 316 395 400 632 790 800 1264 1580 1975 2528 3160 3950 6320 7900 12640 15329 15800 30658 31600 61316 63200 76645 122632 127079 153290 245264 254158 306580 383225 490528 508316 613160 635395 766450 1016632 1210991 1226320 1270790 1532900 2033264 2421982 2452640 2541580 3065800 3176975 4066528 4843964 5083160 6054955 6131600 6353950 9687928 10039241 10166320 12109910 12263200 12707900 19375856 20078482 20332640 24219820 25415800 30274775 38751712 40156964 48439640 50196205 50831600 60549550 80313928 96879280 100392410 101663200 121099100 160627856 193758560 200784820 242198200 250981025 321255712 401569640 484396400 501962050 803139280 968792800 1003924100 1606278560 1947993991 2007848200 3895987982 4015696400 7791975964 8031392800 9739969955 15583951928 19479939910 31167903856 38959879820 48699849775 62335807712 77919759640 97399699550 153891525289 155839519280 194799399100 307783050578 311679038560 389598798200 615566101156 769457626445 779197596400 1231132202312 1538915252890 1558395192800 2462264404624 3077830505780 3847288132225 4924528809248 6155661011560 7694576264450 12311322023120 15389152528900 24622644046240 30778305057800 61556610115600 123113220231200