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122012020020 = 223511479385943
BaseRepresentation
bin111000110100001111…
…0111010110100110100
3102122221020010211002110
41301220132322310310
53444340034120040
6132015045011020
711546400025662
oct1615036726464
9378836124073
10122012020020
1147821671590
121b7916b3a70
13b675cac867
145c9664dc32
15329193e980
hex1c687bad34

122012020020 has 96 divisors (see below), whose sum is σ = 373470289920. Its totient is φ = 29516844160.

The previous prime is 122012020019. The next prime is 122012020043. The reversal of 122012020020 is 20020210221.

122012020020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122012019978 and 122012020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123169 + ... + 509111.

It is an arithmetic number, because the mean of its divisors is an integer number (3890315520).

Almost surely, 2122012020020 is an apocalyptic number.

122012020020 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 122012020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186735144960).

122012020020 is an abundant number, since it is smaller than the sum of its proper divisors (251458269900).

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

122012020020 is a wasteful number, since it uses less digits than its factorization.

122012020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386445 (or 386443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122012020020 its reverse (20020210221), we get a palindrome (142032230241).

The spelling of 122012020020 in words is "one hundred twenty-two billion, twelve million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 479 660 958 1437 1916 2395 2874 4790 5269 5748 7185 9580 10538 14370 15807 21076 26345 28740 31614 52690 63228 79035 105380 158070 316140 385943 771886 1157829 1543772 1929715 2315658 3859430 4245373 4631316 5789145 7718860 8490746 11578290 12736119 16981492 21226865 23156580 25472238 42453730 50944476 63680595 84907460 127361190 184866697 254722380 369733394 554600091 739466788 924333485 1109200182 1848666970 2033533667 2218400364 2773000455 3697333940 4067067334 5546000910 6100601001 8134134668 10167668335 11092001820 12201202002 20335336670 24402404004 30503005005 40670673340 61006010010 122012020020