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12014240420 = 2257313243241
BaseRepresentation
bin10110011000001101…
…01100001010100100
31011000021220122112102
423030012230022210
5144101121143140
65304054511232
7603503234000
oct131406541244
934007818472
1012014240420
1151057a8716
1223b3665518
1311960ac500
1481d887700
154a4b34e15
hex2cc1ac2a4

12014240420 has 288 divisors, whose sum is σ = 32736211200. Its totient is φ = 3698472960.

The previous prime is 12014240419. The next prime is 12014240423. The reversal of 12014240420 is 2404241021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12014240392 and 12014240401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014240423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49851500 + ... + 49851740.

It is an arithmetic number, because the mean of its divisors is an integer number (113667400).

Almost surely, 212014240420 is an apocalyptic number.

12014240420 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 12014240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368105600).

12014240420 is an abundant number, since it is smaller than the sum of its proper divisors (20721970780).

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

12014240420 is a wasteful number, since it uses less digits than its factorization.

12014240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12014240420 its reverse (2404241021), we get a palindrome (14418481441).

The spelling of 12014240420 in words is "twelve billion, fourteen million, two hundred forty thousand, four hundred twenty".