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21121001220 = 223511311032307
BaseRepresentation
bin10011101010111010…
…001110011100000100
32000111221220000211110
4103222322032130010
5321223434014340
613411452205020
71345253356014
oct235272163404
960457800743
1021121001220
118a59288910
124115469770
131cb79cc677
14104512dc44
1583939e680
hex4eae8e704

21121001220 has 96 divisors (see below), whose sum is σ = 66596253696. Its totient is φ = 4955068800.

The previous prime is 21121001207. The next prime is 21121001233. The reversal of 21121001220 is 2210012112.

It is an interprime number because it is at equal distance from previous prime (21121001207) and next prime (21121001233).

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 = 21121001196 and 21121001205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495694 + ... + 536613.

It is an arithmetic number, because the mean of its divisors is an integer number (693710976).

Almost surely, 221121001220 is an apocalyptic number.

21121001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121001220 is an abundant number, since it is smaller than the sum of its proper divisors (45475252476).

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

21121001220 is a wasteful number, since it uses less digits than its factorization.

21121001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032361 (or 1032359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21121001220 its reverse (2210012112), we get a palindrome (23331013332).

The spelling of 21121001220 in words is "twenty-one billion, one hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 1032307 2064614 3096921 4129228 5161535 6193842 10323070 11355377 12387684 15484605 20646140 22710754 30969210 32001517 34066131 45421508 56776885 61938420 64003034 68132262 96004551 113553770 128006068 136264524 160007585 170330655 192009102 227107540 320015170 340661310 352016687 384018204 480022755 640030340 681322620 704033374 960045510 1056050061 1408066748 1760083435 1920091020 2112100122 3520166870 4224200244 5280250305 7040333740 10560500610 21121001220