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12434212234220 = 2257101879364373
BaseRepresentation
bin1011010011110001000011…
…0011011010001111101100
31122000200212122000001020012
42310330100303122033230
53112210231312443340
642240110453112352
72422225241056430
oct264742063321754
948020778001205
1012434212234220
113a64357713137
121489a006286b8
136c2705c934aa
1430db677c89c0
1516869813c565
hexb4f10cda3ec

12434212234220 has 48 divisors (see below), whose sum is σ = 30137575825728. Its totient is φ = 4220948985600.

The previous prime is 12434212234183. The next prime is 12434212234273. The reversal of 12434212234220 is 2243221243421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439668047 + ... + 439696326.

It is an arithmetic number, because the mean of its divisors is an integer number (627866163036).

Almost surely, 212434212234220 is an apocalyptic number.

12434212234220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434212234220 is an abundant number, since it is smaller than the sum of its proper divisors (17703363591508).

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

12434212234220 is a wasteful number, since it uses less digits than its factorization.

12434212234220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879364490 (or 879364488 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12434212234220 its reverse (2243221243421), we get a palindrome (14677433477641).

The spelling of 12434212234220 in words is "twelve trillion, four hundred thirty-four billion, two hundred twelve million, two hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 879364373 1758728746 3517457492 4396821865 6155550611 8793643730 12311101222 17587287460 24622202444 30777753055 61555506110 88815801673 123111012220 177631603346 355263206692 444079008365 621710611711 888158016730 1243421223422 1776316033460 2486842446844 3108553058555 6217106117110 12434212234220