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12111010021220 = 22511315801306121
BaseRepresentation
bin1011000000111101000001…
…1100110011111101100100
31120212210122010000110210212
42300033100130303331210
53041411322031134340
641431415440034552
72356664055432155
oct260172034637544
946783563013725
1012111010021220
11394a2834728a0
121437240902a58
1369b0a9225086
142dc266d9b92c
1516007da28a65
hexb03d0733f64

12111010021220 has 96 divisors (see below), whose sum is σ = 28645260844032. Its totient is φ = 4261190400000.

The previous prime is 12111010021219. The next prime is 12111010021259. The reversal of 12111010021220 is 2212001011121.

12111010021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12111010021195 and 12111010021204.

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, 39409760 + ... + 39715880.

It is an arithmetic number, because the mean of its divisors is an integer number (298388133792).

Almost surely, 212111010021220 is an apocalyptic number.

12111010021220 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 12111010021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322630422016).

12111010021220 is an abundant number, since it is smaller than the sum of its proper divisors (16534250822812).

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

12111010021220 is a wasteful number, since it uses less digits than its factorization.

12111010021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311973 (or 311971 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12111010021220 its reverse (2212001011121), we get a palindrome (14323011032341).

The spelling of 12111010021220 in words is "twelve trillion, one hundred eleven billion, ten million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 5801 6820 11602 23204 29005 58010 63811 116020 127622 179831 255244 306121 319055 359662 612242 638110 719324 899155 1224484 1276220 1530605 1798310 1978141 3061210 3367331 3596620 3956282 6122420 6734662 7912564 9489751 9890705 13469324 16836655 18979502 19781410 33673310 37959004 39562820 47448755 67346620 94897510 104387261 189795020 208774522 417549044 521936305 1043872610 1775807921 2087745220 3551615842 7103231684 8879039605 17758079210 19533887131 35516158420 39067774262 55050045551 78135548524 97669435655 110100091102 195338871310 220200182204 275250227755 390677742620 550500455510 605550501061 1101000911020 1211101002122 2422202004244 3027752505305 6055505010610 12111010021220