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12201031024 = 2471359142031
BaseRepresentation
bin10110101110011110…
…01111010101110000
31011111022101121001221
423113033033111300
5144441430443044
65334410234424
7611232024010
oct132717172560
934438347057
1012201031024
1151a1189216
122446125a14
1311c59c01b0
1483a5cbc40
154b6230484
hex2d73cf570

12201031024 has 80 divisors (see below), whose sum is σ = 29588106240. Its totient is φ = 4744938240.

The previous prime is 12201031009. The next prime is 12201031027. The reversal of 12201031024 is 42013010221.

It is a super-2 number, since 2×122010310242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12201030989 and 12201031007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201031027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14889 + ... + 156919.

It is an arithmetic number, because the mean of its divisors is an integer number (369851328).

Almost surely, 212201031024 is an apocalyptic number.

12201031024 is a gapful number since it is divisible by the number (14) 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 12201031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794053120).

12201031024 is an abundant number, since it is smaller than the sum of its proper divisors (17387075216).

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

12201031024 is a wasteful number, since it uses less digits than its factorization.

12201031024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142118 (or 142112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12201031024 its reverse (42013010221), we get a palindrome (54214041245).

The spelling of 12201031024 in words is "twelve billion, two hundred one million, thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 59 91 104 112 118 182 208 236 364 413 472 728 767 826 944 1456 1534 1652 3068 3304 5369 6136 6608 10738 12272 21476 42952 85904 142031 284062 568124 994217 1136248 1846403 1988434 2272496 3692806 3976868 7385612 7953736 8379829 12924821 14771224 15907472 16759658 25849642 29542448 33519316 51699284 58658803 67038632 103398568 108937777 117317606 134077264 206797136 217875554 234635212 435751108 469270424 762564439 871502216 938540848 1525128878 1743004432 3050257756 6100515512 12201031024