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12102022212 = 22371396771531
BaseRepresentation
bin10110100010101011…
…00011010001000100
31011020102002102111220
423101111203101010
5144241104202322
65320512200340
7605620330410
oct132125432104
934212072456
1012102022212
115150304455
122418b390b0
1311ab3358b7
1482b3b7d40
154ac6c455c
hex2d1563444

12102022212 has 96 divisors (see below), whose sum is σ = 32573506560. Its totient is φ = 3425535360.

The previous prime is 12102022201. The next prime is 12102022223. The reversal of 12102022212 is 21222020121.

It is an interprime number because it is at equal distance from previous prime (12102022201) and next prime (12102022223).

It is a junction number, because it is equal to n+sod(n) for n = 12102022191 and 12102022200.

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, 7903887 + ... + 7905417.

It is an arithmetic number, because the mean of its divisors is an integer number (339307360).

Almost surely, 212102022212 is an apocalyptic number.

12102022212 is a gapful number since it is divisible by the number (12) 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 12102022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286753280).

12102022212 is an abundant number, since it is smaller than the sum of its proper divisors (20471484348).

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

12102022212 is a wasteful number, since it uses less digits than its factorization.

12102022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12102022212 its reverse (21222020121), we get a palindrome (33324042333).

The spelling of 12102022212 in words is "twelve billion, one hundred two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 677 834 973 1354 1531 1668 1946 2031 2708 2919 3062 3892 4062 4593 4739 5838 6124 8124 9186 9478 10717 11676 14217 18372 18956 21434 28434 32151 42868 56868 64302 94103 128604 188206 212809 282309 376412 425618 564618 638427 658721 851236 1036487 1129236 1276854 1317442 1489663 1976163 2072974 2553708 2634884 2979326 3109461 3952326 4145948 4468989 5958652 6218922 7255409 7904652 8937978 12437844 14510818 17875956 21766227 29021636 43532454 87064908 144071693 288143386 432215079 576286772 864430158 1008501851 1728860316 2017003702 3025505553 4034007404 6051011106 12102022212