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12002022012 = 223232931783
BaseRepresentation
bin10110010110110000…
…00101001001111100
31010222102220220000210
423023120011021330
5144040004201022
65302540552420
7603264334551
oct131330051174
933872826023
1012002022012
1150a9912862
1223ab552710
1311936c1c96
1481bdc6a28
154a3a1ea0c
hex2cb60527c

12002022012 has 96 divisors (see below), whose sum is σ = 30282900480. Its totient is φ = 3692703168.

The previous prime is 12002021971. The next prime is 12002022029. The reversal of 12002022012 is 21022020021.

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

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, 6730473 + ... + 6732255.

It is an arithmetic number, because the mean of its divisors is an integer number (315446880).

Almost surely, 212002022012 is an apocalyptic number.

12002022012 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 12002022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15141450240).

12002022012 is an abundant number, since it is smaller than the sum of its proper divisors (18280878468).

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

12002022012 is a wasteful number, since it uses less digits than its factorization.

12002022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002022012 its reverse (21022020021), we get a palindrome (33024042033).

The spelling of 12002022012 in words is "twelve billion, two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 841 1334 1682 1783 2001 2523 2668 3364 3566 4002 5046 5349 7132 8004 10092 10698 19343 21396 24389 38686 41009 48778 51707 58029 73167 77372 82018 97556 103414 116058 123027 146334 155121 164036 206828 232116 246054 292668 310242 492108 560947 620484 1121894 1189261 1499503 1682841 2243788 2378522 2999006 3365682 3567783 4498509 4757044 5998012 6731364 7135566 8997018 14271132 17994036 34488569 43485587 68977138 86971174 103465707 130456761 137954276 173942348 206931414 260913522 413862828 521827044 1000168501 2000337002 3000505503 4000674004 6001011006 12002022012