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12224512212 = 22311113827991
BaseRepresentation
bin10110110001010001…
…10100000011010100
31011112221120120012120
423120220310003110
5200013433342322
65341005415540
7611635432203
oct133050640324
934487516176
1012224512212
115203466a60
122451b6a5b0
1311ca821ca3
1483d78123a
154b831ca5c
hex2d8a340d4

12224512212 has 96 divisors (see below), whose sum is σ = 31461986304. Its totient is φ = 3663475200.

The previous prime is 12224512211. The next prime is 12224512231. The reversal of 12224512212 is 21221542221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224512211) 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, 12335037 + ... + 12336027.

It is an arithmetic number, because the mean of its divisors is an integer number (327729024).

Almost surely, 212224512212 is an apocalyptic number.

12224512212 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 12224512212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730993152).

12224512212 is an abundant number, since it is smaller than the sum of its proper divisors (19237474092).

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

12224512212 is a wasteful number, since it uses less digits than its factorization.

12224512212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1947 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The spelling of 12224512212 in words is "twelve billion, two hundred twenty-four million, five hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 827 991 1243 1356 1654 1982 2481 2486 2973 3308 3729 3964 4962 4972 5946 7458 9097 9924 10901 11892 14916 18194 21802 27291 32703 36388 43604 54582 65406 93451 109164 111983 130812 186902 223966 280353 335949 373804 447932 560706 671898 819557 1027961 1121412 1231813 1343796 1639114 2055922 2458671 2463626 3083883 3278228 3695439 4111844 4917342 4927252 6167766 7390878 9015127 9834684 12335532 14781756 18030254 27045381 36060508 54090762 92609941 108181524 185219882 277829823 370439764 555659646 1018709351 1111319292 2037418702 3056128053 4074837404 6112256106 12224512212