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12020220001220 = 2251016421926741
BaseRepresentation
bin1010111011101010110011…
…1100010111101111000100
31120120010021210120120222112
42232322230330113233010
53033414402310014340
641322002434520152
72350301154126254
oct256725474275704
946503253516875
1012020220001220
113914823908012
121421723436058
1369266a835652
142d7ad31b1964
1515ca18147065
hexaeeacf17bc4

12020220001220 has 48 divisors (see below), whose sum is σ = 25496385039216. Its totient is φ = 4759736640000.

The previous prime is 12020220001217. The next prime is 12020220001303. The reversal of 12020220001220 is 2210002202021.

It can be written as a sum of positive squares in 8 ways, for example, as 42100473856 + 11978119527364 = 205184^2 + 3460942^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12020220001195 and 12020220001204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12507050 + ... + 13433790.

It is an arithmetic number, because the mean of its divisors is an integer number (531174688317).

Almost surely, 212020220001220 is an apocalyptic number.

12020220001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020220001220 is an abundant number, since it is smaller than the sum of its proper divisors (13476165037996).

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

12020220001220 is a wasteful number, since it uses less digits than its factorization.

12020220001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933272 (or 933270 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12020220001220 its reverse (2210002202021), we get a palindrome (14230222203241).

The spelling of 12020220001220 in words is "twelve trillion, twenty billion, two hundred twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 6421 12842 25684 32105 64210 128420 648521 926741 1297042 1853482 2594084 3242605 3706964 4633705 6485210 9267410 12970420 18534820 93600841 187201682 374403364 468004205 936008410 1872016820 5950603961 11901207922 23802415844 29753019805 59506039610 119012079220 601011000061 1202022000122 2404044000244 3005055000305 6010110000610 12020220001220