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12211032212000 = 255323477935747
BaseRepresentation
bin1011000110110001101000…
…1111001100001000100000
31121020100210211102020002022
42301230122033030020200
53100031143221241000
641545400514441012
72400134522142626
oct261543217141040
947210724366068
1012211032212000
113988740385186
1214526b5b93168
136a765950414b
14303034d57516
15162984b98585
hexb1b1a3cc220

12211032212000 has 384 divisors, whose sum is σ = 32378696663040. Its totient is φ = 4514634009600.

The previous prime is 12211032211949. The next prime is 12211032212003. The reversal of 12211032212000 is 21223011221.

It is a super-2 number, since 2×122110322120002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12211032212000.

It is not an unprimeable number, because it can be changed into a prime (12211032212003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341578127 + ... + 341613873.

It is an arithmetic number, because the mean of its divisors is an integer number (84319522560).

Almost surely, 212211032212000 is an apocalyptic number.

12211032212000 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 12211032212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189348331520).

12211032212000 is an abundant number, since it is smaller than the sum of its proper divisors (20167664451040).

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

12211032212000 is a wasteful number, since it uses less digits than its factorization.

12211032212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35921 (or 35903 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12211032212000 its reverse (21223011221), we get a palindrome (12232255223221).

The spelling of 12211032212000 in words is "twelve trillion, two hundred eleven billion, thirty-two million, two hundred twelve thousand".