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20121132224 = 261277613253
BaseRepresentation
bin10010101111010100…
…000001110011000000
31220221021110102102102
4102233110001303000
5312202002212344
613124333405532
71311422542034
oct225724016300
956837412372
1020121132224
1185959444a6
123a966398a8
131b88809ccb
14d8c4181c4
157cb6e6e4e
hex4af501cc0

20121132224 has 56 divisors (see below), whose sum is σ = 40307532288. Its totient is φ = 9965168640.

The previous prime is 20121132191. The next prime is 20121132257. The reversal of 20121132224 is 42223112102.

It is an interprime number because it is at equal distance from previous prime (20121132191) and next prime (20121132257).

It is a junction number, because it is equal to n+sod(n) for n = 20121132196 and 20121132205.

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, 6183782 + ... + 6187034.

Almost surely, 220121132224 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 20121132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153766144).

20121132224 is an abundant number, since it is smaller than the sum of its proper divisors (20186400064).

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

20121132224 is a wasteful number, since it uses less digits than its factorization.

20121132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20121132224 its reverse (42223112102), we get a palindrome (62344244326).

The spelling of 20121132224 in words is "twenty billion, one hundred twenty-one million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 127 254 508 761 1016 1522 2032 3044 3253 4064 6088 6506 8128 12176 13012 24352 26024 48704 52048 96647 104096 193294 208192 386588 413131 773176 826262 1546352 1652524 2475533 3092704 3305048 4951066 6185408 6610096 9902132 13220192 19804264 26440384 39608528 79217056 158434112 314392691 628785382 1257570764 2515141528 5030283056 10060566112 20121132224