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12010200020 = 22571310761673
BaseRepresentation
bin10110010111101110…
…10001101111010100
31011000000022101010222
423023313101233110
5144044102400040
65303432133512
7603424005260
oct131367215724
934000271128
1012010200020
115103499045
1223b2237298
1311952c6440
1481d1150a0
154a45d7bb5
hex2cbdd1bd4

12010200020 has 96 divisors (see below), whose sum is σ = 31332365568. Its totient is φ = 3765445632.

The previous prime is 12010199917. The next prime is 12010200031. The reversal of 12010200020 is 2000201021.

It is a junction number, because it is equal to n+sod(n) for n = 12010199980 and 12010200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163904 + ... + 225576.

It is an arithmetic number, because the mean of its divisors is an integer number (326378808).

Almost surely, 212010200020 is an apocalyptic number.

12010200020 is a gapful number since it is divisible by the number (10) 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 12010200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666182784).

12010200020 is an abundant number, since it is smaller than the sum of its proper divisors (19322165548).

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

12010200020 is a wasteful number, since it uses less digits than its factorization.

12010200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61809 (or 61807 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12010200020 its reverse (2000201021), we get a palindrome (14010401041).

The spelling of 12010200020 in words is "twelve billion, ten million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 107 130 140 182 214 260 364 428 455 535 749 910 1070 1391 1498 1820 2140 2782 2996 3745 5564 6955 7490 9737 13910 14980 19474 27820 38948 48685 61673 97370 123346 194740 246692 308365 431711 616730 801749 863422 1233460 1603498 1726844 2158555 3206996 4008745 4317110 5612243 6599011 8017490 8634220 11224486 13198022 16034980 22448972 26396044 28061215 32995055 46193077 56122430 65990110 85787143 92386154 112244860 131980220 171574286 184772308 230965385 343148572 428935715 461930770 600510001 857871430 923861540 1201020002 1715742860 2402040004 3002550005 6005100010 12010200020