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12102221312 = 29229233443
BaseRepresentation
bin10110100010101100…
…10011111000000000
31011020102110112121222
423101112103320000
5144241132040222
65320520334212
7605622120026
oct132126237000
934212415558
1012102221312
11515042aaa5
122419014368
1311ab3a53cc
1482b42a716
154ac713542
hex2d1593e00

12102221312 has 80 divisors (see below), whose sum is σ = 24445689840. Its totient is φ = 5985288192.

The previous prime is 12102221279. The next prime is 12102221359. The reversal of 12102221312 is 21312220121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27318563 + ... + 27319005.

It is an arithmetic number, because the mean of its divisors is an integer number (305571123).

Almost surely, 212102221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12222844920).

12102221312 is an abundant number, since it is smaller than the sum of its proper divisors (12343468528).

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

12102221312 is an equidigital number, since it uses as much as digits as its factorization.

12102221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12102221312 its reverse (21312220121), we get a palindrome (33414441433).

The spelling of 12102221312 in words is "twelve billion, one hundred two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 229 233 256 443 458 466 512 886 916 932 1772 1832 1864 3544 3664 3728 7088 7328 7456 14176 14656 14912 28352 29312 29824 53357 56704 58624 59648 101447 103219 106714 113408 117248 119296 202894 206438 213428 226816 405788 412876 426856 811576 825752 853712 1623152 1651504 1707424 3246304 3303008 3414848 6492608 6606016 6829696 12985216 13212032 13659392 23637151 25970432 26424064 27318784 47274302 51940864 52848128 94548604 189097208 378194416 756388832 1512777664 3025555328 6051110656 12102221312