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12114431414420 = 225605721570721
BaseRepresentation
bin1011000001001001110001…
…1000011001000010010100
31120220010110112222020221112
42300102130120121002110
53041440323420230140
641433143140234152
72360144622000356
oct260223430310224
946803415866845
1012114431414420
113950779790185
121437a3669b958
1369b502ccb4aa
142dc4ad5370d6
151601ce0a9c65
hexb049c619094

12114431414420 has 12 divisors (see below), whose sum is σ = 25440305970324. Its totient is φ = 4845772565760.

The previous prime is 12114431414363. The next prime is 12114431414431. The reversal of 12114431414420 is 2441413441121.

It can be written as a sum of positive squares in 2 ways, for example, as 8929841264656 + 3184590149764 = 2988284^2 + 1784542^2 .

It is a super-3 number, since 3×121144314144203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302860785341 + ... + 302860785380.

It is an arithmetic number, because the mean of its divisors is an integer number (2120025497527).

Almost surely, 212114431414420 is an apocalyptic number.

12114431414420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114431414420 is an abundant number, since it is smaller than the sum of its proper divisors (13325874555904).

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

12114431414420 is a wasteful number, since it uses less digits than its factorization.

12114431414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605721570730 (or 605721570728 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 12114431414420 its reverse (2441413441121), we get a palindrome (14555844855541).

The spelling of 12114431414420 in words is "twelve trillion, one hundred fourteen billion, four hundred thirty-one million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 605721570721 1211443141442 2422886282884 3028607853605 6057215707210 12114431414420