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10220120121220 = 2257180910318629
BaseRepresentation
bin1001010010111000111010…
…1000010001111110000100
31100012000220202001222220121
42110232032220101332010
52314421301222334340
633423020335111324
72103244050452662
oct224561650217604
940160822058817
1010220120121220
113290368409079
121190889672544
135919a39bc469
14274929443c32
1512acae95e94a
hex94b8ea11f84

10220120121220 has 96 divisors (see below), whose sum is σ = 21815104550400. Its totient is φ = 4021117363200.

The previous prime is 10220120121179. The next prime is 10220120121251. The reversal of 10220120121220 is 2212102102201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10220120121194 and 10220120121203.

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, 1184387866 + ... + 1184396494.

It is an arithmetic number, because the mean of its divisors is an integer number (227240672400).

Almost surely, 210220120121220 is an apocalyptic number.

10220120121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220120121220 is an abundant number, since it is smaller than the sum of its proper divisors (11594984429180).

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

10220120121220 is a wasteful number, since it uses less digits than its factorization.

10220120121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10549 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10220120121220 its reverse (2212102102201), we get a palindrome (12432222223421).

The spelling of 10220120121220 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 809 1031 1420 1618 2062 3236 4045 4124 5155 8090 8629 10310 16180 17258 20620 34516 43145 57439 73201 86290 114878 146402 172580 229756 287195 292804 366005 574390 612659 732010 834079 1148780 1225318 1464020 1668158 2450636 3063295 3336316 4170395 6126590 6980861 8340790 8896499 12253180 13961722 16681580 17792998 27923444 34904305 35585996 44482495 59219609 69808610 88964990 118439218 139617220 177929980 236878436 296098045 495641131 592196090 631651429 991282262 1184392180 1263302858 1982564524 2478205655 2526605716 3158257145 4956411310 6316514290 7197267691 9912822620 12633028580 14394535382 28789070764 35986338455 71972676910 143945353820 511006006061 1022012012122 2044024024244 2555030030305 5110060060610 10220120121220