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12111142420 = 2251346581317
BaseRepresentation
bin10110100011110000…
…10101111000010100
31011021001020210002101
423101320111320110
5144300423024140
65321435451444
7606061004056
oct132170257024
934231223071
1012111142420
115155473613
12241bbb6b84
1311b01a9b80
1482c6ad8d6
154ad3c699a
hex2d1e15e14

12111142420 has 24 divisors (see below), whose sum is σ = 27389814984. Its totient is φ = 4471806336.

The previous prime is 12111142411. The next prime is 12111142447. The reversal of 12111142420 is 2424111121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29615364 + 12081527056 = 5442^2 + 109916^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23290399 + ... + 23290918.

It is an arithmetic number, because the mean of its divisors is an integer number (1141242291).

Almost surely, 212111142420 is an apocalyptic number.

12111142420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111142420 is an abundant number, since it is smaller than the sum of its proper divisors (15278672564).

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

12111142420 is a wasteful number, since it uses less digits than its factorization.

12111142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46581339 (or 46581337 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12111142420 its reverse (2424111121), we get a palindrome (14535253541).

The spelling of 12111142420 in words is "twelve billion, one hundred eleven million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 46581317 93162634 186325268 232906585 465813170 605557121 931626340 1211114242 2422228484 3027785605 6055571210 12111142420