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12201023231232 = 2831117292929513
BaseRepresentation
bin1011000110001100010110…
…1001111101010100000000
31121012101222021202022122220
42301203011221331110000
53044400143421344412
641541023411331040
72366331505204653
oct261430551752400
947171867668586
1012201023231232
113984474596850
121450781bb0a80
136a67229c1014
1430276593789a
1516259b11468c
hexb18c5a7d500

12201023231232 has 288 divisors, whose sum is σ = 38801764471680. Its totient is φ = 3359798722560.

The previous prime is 12201023231231. The next prime is 12201023231237. The reversal of 12201023231232 is 23213232010221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201023231231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2700108 + ... + 5629620.

It is an arithmetic number, because the mean of its divisors is an integer number (134728348860).

Almost surely, 212201023231232 is an apocalyptic number.

12201023231232 is a gapful number since it is divisible by the number (12) 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 12201023231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19400882235840).

12201023231232 is an abundant number, since it is smaller than the sum of its proper divisors (26600741240448).

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

12201023231232 is a wasteful number, since it uses less digits than its factorization.

12201023231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929589 (or 2929575 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12201023231232 its reverse (23213232010221), we get a palindrome (35414255241453).

The spelling of 12201023231232 in words is "twelve trillion, two hundred one billion, twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".