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441132121220 = 225743547133963
BaseRepresentation
bin1100110101101011000…
…01011111110010000100
31120011122020220121211212
412122311201133302010
524211414310334340
6534353040150552
743604444106530
oct6326541376204
91504566817755
10441132121220
111600a064490a
12715b2308458
13327a2109bcb
14174cac70bc0
15b71c9ada65
hex66b585fc84

441132121220 has 96 divisors (see below), whose sum is σ = 1085327029248. Its totient is φ = 147456796032.

The previous prime is 441132121217. The next prime is 441132121223. The reversal of 441132121220 is 22121231144.

It is an interprime number because it is at equal distance from previous prime (441132121217) and next prime (441132121223).

It is not an unprimeable number, because it can be changed into a prime (441132121223) 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, 3225959 + ... + 3359921.

It is an arithmetic number, because the mean of its divisors is an integer number (11305489888).

Almost surely, 2441132121220 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 441132121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542663514624).

441132121220 is an abundant number, since it is smaller than the sum of its proper divisors (644194908028).

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

441132121220 is a wasteful number, since it uses less digits than its factorization.

441132121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134569 (or 134567 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 441132121220 its reverse (22121231144), we get a palindrome (463253352364).

The spelling of 441132121220 in words is "four hundred forty-one billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 547 602 860 1094 1204 1505 2188 2735 3010 3829 5470 6020 7658 10940 15316 19145 23521 38290 47042 76580 94084 117605 133963 164647 235210 267926 329294 470420 535852 658588 669815 823235 937741 1339630 1646470 1875482 2679260 3292940 3750964 4688705 5760409 9377410 11520818 18754820 23041636 28802045 40322863 57604090 73277761 80645726 115208180 146555522 161291452 201614315 293111044 366388805 403228630 512944327 732777610 806457260 1025888654 1465555220 2051777308 2564721635 3150943723 5129443270 6301887446 10258886540 12603774892 15754718615 22056606061 31509437230 44113212122 63018874460 88226424244 110283030305 220566060610 441132121220