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12243022114000 = 24536121511057
BaseRepresentation
bin1011001000101000110011…
…1110111110110011010000
31121100102101021001121211111
42302022030332332303100
53101042202130122000
642012211113223104
72402346333625216
oct262121476766320
947312337047744
1012243022114000
1139a0266899017
121458943401a94
136aa686c19242
143047cb78ccb6
1516370833ccba
hexb228cfbecd0

12243022114000 has 40 divisors (see below), whose sum is σ = 29603627476488. Its totient is φ = 4897208844800.

The previous prime is 12243022113997. The next prime is 12243022114039. The reversal of 12243022114000 is 41122034221.

It can be written as a sum of positive squares in 4 ways, for example, as 1167065374864 + 11075956739136 = 1080308^2 + 3328056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3060753529 + ... + 3060757528.

Almost surely, 212243022114000 is an apocalyptic number.

12243022114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243022114000 is an abundant number, since it is smaller than the sum of its proper divisors (17360605362488).

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

12243022114000 is an equidigital number, since it uses as much as digits as its factorization.

12243022114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121511080 (or 6121511064 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12243022114000 its reverse (41122034221), we get a palindrome (12284144148221).

It can be divided in two parts, 122430221 and 14000, that added together give a palindrome (122444221).

The spelling of 12243022114000 in words is "twelve trillion, two hundred forty-three billion, twenty-two million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6121511057 12243022114 24486044228 30607555285 48972088456 61215110570 97944176912 122430221140 153037776425 244860442280 306075552850 489720884560 612151105700 765188882125 1224302211400 1530377764250 2448604422800 3060755528500 6121511057000 12243022114000