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12020333213020 = 225111632691246103
BaseRepresentation
bin1010111011101011001110…
…1100001111010101011100
31120120010120200121100101011
42232322303230033111130
53033420120300304040
641322022001225004
72350304030325646
oct256726354172534
946503520540334
1012020333213020
113914881802790
121421755332164
13692688123892
142d7b04241896
1515ca2305b3ea
hexaeeb3b0f55c

12020333213020 has 96 divisors (see below), whose sum is σ = 27809452500480. Its totient is φ = 4328061154560.

The previous prime is 12020333212999. The next prime is 12020333213093. The reversal of 12020333213020 is 2031233302021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12020333212982 and 12020333213000.

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, 9023289 + ... + 10269391.

It is an arithmetic number, because the mean of its divisors is an integer number (289681796880).

Almost surely, 212020333213020 is an apocalyptic number.

12020333213020 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 12020333213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904726250240).

12020333213020 is an abundant number, since it is smaller than the sum of its proper divisors (15789119287460).

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

12020333213020 is a wasteful number, since it uses less digits than its factorization.

12020333213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246555 (or 1246553 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12020333213020 its reverse (2031233302021), we get a palindrome (14051566515041).

The spelling of 12020333213020 in words is "twelve trillion, twenty billion, three hundred thirty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 269 326 538 652 815 1076 1345 1630 1793 2690 2959 3260 3586 5380 5918 7172 8965 11836 14795 17930 29590 35860 43847 59180 87694 175388 219235 438470 482317 876940 964634 1246103 1929268 2411585 2492206 4823170 4984412 6230515 9646340 12461030 13707133 24922060 27414266 54828532 68535665 137071330 203114789 274142660 335201707 406229578 670403414 812459156 1015573945 1340806828 1676008535 2031147890 2234262679 3352017070 3687218777 4062295780 4468525358 6704034140 7374437554 8937050716 11171313395 14748875108 18436093885 22342626790 36872187770 44685253580 54637878241 73744375540 109275756482 218551512964 273189391205 546378782410 601016660651 1092757564820 1202033321302 2404066642604 3005083303255 6010166606510 12020333213020