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12231001002000 = 24353111315914083
BaseRepresentation
bin1011000111111100000001…
…1110000101000000010000
31121022021100111012212021010
42301333000132011000100
53100343042224031000
642002502211130520
72401442415101364
oct261770036050020
947267314185233
1012231001002000
113996158227710
1214565495a3a40
136a94bc5a2111
14303dab0372a4
15163252cebd50
hexb1fc0785010

12231001002000 has 320 divisors, whose sum is σ = 43023866296320. Its totient is φ = 2964655296000.

The previous prime is 12231001001899. The next prime is 12231001002019. The reversal of 12231001002000 is 20010013221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 868486959 + ... + 868501041.

It is an arithmetic number, because the mean of its divisors is an integer number (134449582176).

Almost surely, 212231001002000 is an apocalyptic number.

12231001002000 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 12231001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511933148160).

12231001002000 is an abundant number, since it is smaller than the sum of its proper divisors (30792865294320).

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

12231001002000 is a wasteful number, since it uses less digits than its factorization.

12231001002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27279 (or 27263 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12231001002000 its reverse (20010013221), we get a palindrome (12251011015221).

The spelling of 12231001002000 in words is "twelve trillion, two hundred thirty-one billion, one million, two thousand".