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12001210032 = 2437241148207
BaseRepresentation
bin10110010110101001…
…11110111010110000
31010222101101122012110
423023110332322300
5144034302210112
65302511325320
7603254413350
oct131324767260
933871348173
1012001210032
1150a94087a9
1223ab220840
131193499516
1481bc54b60
154a390e13c
hex2cb53eeb0

12001210032 has 80 divisors (see below), whose sum is σ = 35579405312. Its totient is φ = 3414666240.

The previous prime is 12001210031. The next prime is 12001210033. The reversal of 12001210032 is 23001210021.

It is an interprime number because it is at equal distance from previous prime (12001210031) and next prime (12001210033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12001210031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6873 + ... + 155079.

Almost surely, 212001210032 is an apocalyptic number.

12001210032 is a gapful number since it is divisible by the number (12) 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 12001210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17789702656).

12001210032 is an abundant number, since it is smaller than the sum of its proper divisors (23578195280).

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

12001210032 is a wasteful number, since it uses less digits than its factorization.

12001210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148466 (or 148460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12001210032 its reverse (23001210021), we get a palindrome (35002420053).

The spelling of 12001210032 in words is "twelve billion, one million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 482 723 964 1446 1687 1928 2892 3374 3856 5061 5784 6748 10122 11568 13496 20244 26992 40488 80976 148207 296414 444621 592828 889242 1037449 1185656 1778484 2074898 2371312 3112347 3556968 4149796 6224694 7113936 8299592 12449388 16599184 24898776 35717887 49797552 71435774 107153661 142871548 214307322 250025209 285743096 428614644 500050418 571486192 750075627 857229288 1000100836 1500151254 1714458576 2000201672 3000302508 4000403344 6000605016 12001210032