Search a number
-
+
12002101001220 = 22351119957105343
BaseRepresentation
bin1010111010100111010011…
…1101110111110000000100
31120111101112001111000122110
42232221310331313300010
53033120300324014340
641305404501501020
72346060152146341
oct256516475676004
946441461430573
1012002101001220
113908076137150
12141a107411770
13690a40a6b385
142d6c94a497c8
1515c3075d4680
hexaea74f77c04

12002101001220 has 96 divisors (see below), whose sum is σ = 38590487470080. Its totient is φ = 2756463384960.

The previous prime is 12002101001171. The next prime is 12002101001227. The reversal of 12002101001220 is 2210010120021.

It is a super-2 number, since 2×120021010012202 (a number of 27 digits) contains 22 as substring.

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 = 12002101001196 and 12002101001205.

It is not an unprimeable number, because it can be changed into a prime (12002101001227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478540132 + ... + 478565211.

It is an arithmetic number, because the mean of its divisors is an integer number (401984244480).

Almost surely, 212002101001220 is an apocalyptic number.

12002101001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002101001220 is an abundant number, since it is smaller than the sum of its proper divisors (26588386468860).

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

12002101001220 is a wasteful number, since it uses less digits than its factorization.

12002101001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957105385 (or 957105383 counting only the distinct ones).

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

Adding to 12002101001220 its reverse (2210010120021), we get a palindrome (14212111121241).

The spelling of 12002101001220 in words is "twelve trillion, two billion, one hundred one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 957105343 1914210686 2871316029 3828421372 4785526715 5742632058 9571053430 10528158773 11485264116 14356580145 18185001517 19142106860 21056317546 28713160290 31584476319 36370003034 42112635092 52640793865 54555004551 57426320580 63168952638 72740006068 90925007585 105281587730 109110009102 126337905276 157922381595 181850015170 200035016687 210563175460 218220018204 272775022755 315844763190 363700030340 400070033374 545550045510 600105050061 631689526380 800140066748 1000175083435 1091100091020 1200210100122 2000350166870 2400420200244 3000525250305 4000700333740 6001050500610 12002101001220