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12241432423220 = 225711132971014801
BaseRepresentation
bin1011001000100010111000…
…1110110010101100110100
31121100021021110202222001012
42302020232032302230310
53101030423200020340
642011345244451352
72402262051523220
oct262105616625464
947307243688035
1012241432423220
11399a620518890
12145857ab49b58
136aa492782a00
143046ba5bd780
151636639c8565
hexb222e3b2b34

12241432423220 has 576 divisors, whose sum is σ = 35417672381952. Its totient is φ = 3450470400000.

The previous prime is 12241432423189. The next prime is 12241432423223. The reversal of 12241432423220 is 2232423414221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241432423223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2549764820 + ... + 2549769620.

It is an arithmetic number, because the mean of its divisors is an integer number (61489014552).

Almost surely, 212241432423220 is an apocalyptic number.

12241432423220 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 12241432423220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708836190976).

12241432423220 is an abundant number, since it is smaller than the sum of its proper divisors (23176239958732).

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

12241432423220 is a wasteful number, since it uses less digits than its factorization.

12241432423220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5037 counting only the distinct ones).

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

Adding to 12241432423220 its reverse (2232423414221), we get a palindrome (14473855837441).

The spelling of 12241432423220 in words is "twelve trillion, two hundred forty-one billion, four hundred thirty-two million, four hundred twenty-three thousand, two hundred twenty".