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20121223232 = 2611431016581
BaseRepresentation
bin10010101111010100…
…011000000001000000
31220221021122001021002
4102233110120001000
5312202013120412
613124335351132
71311423401255
oct225724300100
956837561232
1020121223232
1185959a6910
123a966824a8
131b8883c566
14d8c43d42c
157cb713dc2
hex4af518040

20121223232 has 112 divisors (see below), whose sum is σ = 45018984384. Its totient is φ = 8843520000.

The previous prime is 20121223229. The next prime is 20121223247. The reversal of 20121223232 is 23232212102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3054182 + ... + 3060762.

Almost surely, 220121223232 is an apocalyptic number.

20121223232 is a gapful number since it is divisible by the number (22) 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 20121223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22509492192).

20121223232 is an abundant number, since it is smaller than the sum of its proper divisors (24897761152).

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

20121223232 is a wasteful number, since it uses less digits than its factorization.

20121223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20121223232 its reverse (23232212102), we get a palindrome (43353435334).

The spelling of 20121223232 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 101 172 176 202 344 352 404 473 688 704 808 946 1111 1376 1616 1892 2222 2752 3232 3784 4343 4444 6464 6581 7568 8686 8888 13162 15136 17372 17776 26324 30272 34744 35552 47773 52648 69488 71104 72391 95546 105296 138976 144782 191092 210592 277952 282983 289564 382184 421184 565966 579128 664681 764368 1131932 1158256 1329362 1528736 2263864 2316512 2658724 3057472 3112813 4527728 4633024 5317448 6225626 7311491 9055456 10634896 12451252 14622982 18110912 21269792 24902504 28581283 29245964 42539584 49805008 57162566 58491928 99610016 114325132 116983856 199220032 228650264 233967712 314394113 457300528 467935424 628788226 914601056 1257576452 1829202112 2515152904 5030305808 10060611616 20121223232