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12122033224 = 2375317922817
BaseRepresentation
bin10110100101000011…
…11000110001001000
31011021210202002110111
423102201320301020
5144311220030344
65322505124104
7606252403510
oct132241706110
934253662414
1012122033224
115160631a84
122423789634
1311b2521032
1482dd06840
154ae328834
hex2d2878c48

12122033224 has 64 divisors (see below), whose sum is σ = 26614915200. Its totient is φ = 5068437504.

The previous prime is 12122033221. The next prime is 12122033233. The reversal of 12122033224 is 42233022121.

It is a junction number, because it is equal to n+sod(n) for n = 12122033195 and 12122033204.

It is not an unprimeable number, because it can be changed into a prime (12122033221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519864 + ... + 542680.

It is an arithmetic number, because the mean of its divisors is an integer number (415858050).

Almost surely, 212122033224 is an apocalyptic number.

12122033224 is a gapful number since it is divisible by the number (14) 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 12122033224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13307457600).

12122033224 is an abundant number, since it is smaller than the sum of its proper divisors (14492881976).

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

12122033224 is a wasteful number, since it uses less digits than its factorization.

12122033224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23062 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12122033224 its reverse (42233022121), we get a palindrome (54355055345).

The spelling of 12122033224 in words is "twelve billion, one hundred twenty-two million, thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 179 212 358 371 424 716 742 1253 1432 1484 2506 2968 5012 9487 10024 18974 22817 37948 45634 66409 75896 91268 132818 159719 182536 265636 319438 531272 638876 1209301 1277752 2418602 4084243 4837204 8168486 8465107 9674408 16336972 16930214 28589701 32673944 33860428 57179402 67720856 114358804 216464879 228717608 432929758 865859516 1515254153 1731719032 3030508306 6061016612 12122033224