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12440201022 = 2335319312251
BaseRepresentation
bin10111001010111111…
…00110011100111110
31012002222102200122000
423211133212130332
5200434142413042
65414232403130
7620164651434
oct134537463476
935088380560
1012440201022
115304195177
1224b22464a6
1312334102c2
14860288d54
154cc22574c
hex2e57e673e

12440201022 has 64 divisors (see below), whose sum is σ = 28193598720. Its totient is φ = 4064580000.

The previous prime is 12440201009. The next prime is 12440201023. The reversal of 12440201022 is 22010204421.

12440201022 is a `hidden beast` number, since 1 + 2 + 440 + 201 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12440200986 and 12440201004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440201023) 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, 5525397 + ... + 5527647.

It is an arithmetic number, because the mean of its divisors is an integer number (440524980).

Almost surely, 212440201022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440201022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14096799360).

12440201022 is an abundant number, since it is smaller than the sum of its proper divisors (15753397698).

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

12440201022 is a wasteful number, since it uses less digits than its factorization.

12440201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12440201022 its reverse (22010204421), we get a palindrome (34450405443).

The spelling of 12440201022 in words is "twelve billion, four hundred forty million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 1931 2251 2862 3862 4502 5793 6753 11586 13506 17379 20259 34758 40518 52137 60777 102343 104274 119303 121554 204686 238606 307029 357909 614058 715818 921087 1073727 1842174 2147454 2763261 3221181 4346681 5526522 6442362 8693362 13040043 26080086 39120129 78240258 117360387 230374093 234720774 460748186 691122279 1382244558 2073366837 4146733674 6220100511 12440201022